What is LCM of 12000 and 12?

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LCM of 12000 and 12 is 12000

How to find lcm of two numbers

1.   What is LCM?
2.   Steps to find LCM of 12000 and 12 By Listing Method
3.   Steps to find LCM of 12000 and 12 By Common Division Method
4.   Steps to find LCM of 12000 and 12 By Formula
5.   Examples

Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 12000 and 12, is defined as the smallest positive integer that is divisible by both. It is written as LCM(12000, 12).

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 12000 and 12 is 12000, where 12000 and 12 are less than 12000.
  • LCM is associative which means LCM(12000, 12) = LCM(12, 12000).
  • LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
  • The LCM of two or more prime numbers is their product.

Steps to find lcm of 12000 and 12 by Listing Method

Example: Find lcm of 12000 and 12 by Listing Method

  • Multiples of 12000: 12000, 24000, 36000, 48000, 60000, 72000, 84000, 96000, 108000, 120000, 132000, 144000
  • Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684, 696, 708, 720, 732, 744, 756, 768, 780, 792, 804, 816, 828, 840, 852, 864, 876, 888, 900, 912, 924, 936, 948, 960, 972, 984, 996, 1008, 1020, 1032, 1044, 1056, 1068, 1080, 1092, 1104, 1116, 1128, 1140, 1152, 1164, 1176, 1188, 1200, 1212, 1224, 1236, 1248, 1260, 1272, 1284, 1296, 1308, 1320, 1332, 1344, 1356, 1368, 1380, 1392, 1404, 1416, 1428, 1440, 1452, 1464, 1476, 1488, 1500, 1512, 1524, 1536, 1548, 1560, 1572, 1584, 1596, 1608, 1620, 1632, 1644, 1656, 1668, 1680, 1692, 1704, 1716, 1728, 1740, 1752, 1764, 1776, 1788, 1800, 1812, 1824, 1836, 1848, 1860, 1872, 1884, 1896, 1908, 1920, 1932, 1944, 1956, 1968, 1980, 1992, 2004, 2016, 2028, 2040, 2052, 2064, 2076, 2088, 2100, 2112, 2124, 2136, 2148, 2160, 2172, 2184, 2196, 2208, 2220, 2232, 2244, 2256, 2268, 2280, 2292, 2304, 2316, 2328, 2340, 2352, 2364, 2376, 2388, 2400, 2412, 2424, 2436, 2448, 2460, 2472, 2484, 2496, 2508, 2520, 2532, 2544, 2556, 2568, 2580, 2592, 2604, 2616, 2628, 2640, 2652, 2664, 2676, 2688, 2700, 2712, 2724, 2736, 2748, 2760, 2772, 2784, 2796, 2808, 2820, 2832, 2844, 2856, 2868, 2880, 2892, 2904, 2916, 2928, 2940, 2952, 2964, 2976, 2988, 3000, 3012, 3024, 3036, 3048, 3060, 3072, 3084, 3096, 3108, 3120, 3132, 3144, 3156, 3168, 3180, 3192, 3204, 3216, 3228, 3240, 3252, 3264, 3276, 3288, 3300, 3312, 3324, 3336, 3348, 3360, 3372, 3384, 3396, 3408, 3420, 3432, 3444, 3456, 3468, 3480, 3492, 3504, 3516, 3528, 3540, 3552, 3564, 3576, 3588, 3600, 3612, 3624, 3636, 3648, 3660, 3672, 3684, 3696, 3708, 3720, 3732, 3744, 3756, 3768, 3780, 3792, 3804, 3816, 3828, 3840, 3852, 3864, 3876, 3888, 3900, 3912, 3924, 3936, 3948, 3960, 3972, 3984, 3996, 4008, 4020, 4032, 4044, 4056, 4068, 4080, 4092, 4104, 4116, 4128, 4140, 4152, 4164, 4176, 4188, 4200, 4212, 4224, 4236, 4248, 4260, 4272, 4284, 4296, 4308, 4320, 4332, 4344, 4356, 4368, 4380, 4392, 4404, 4416, 4428, 4440, 4452, 4464, 4476, 4488, 4500, 4512, 4524, 4536, 4548, 4560, 4572, 4584, 4596, 4608, 4620, 4632, 4644, 4656, 4668, 4680, 4692, 4704, 4716, 4728, 4740, 4752, 4764, 4776, 4788, 4800, 4812, 4824, 4836, 4848, 4860, 4872, 4884, 4896, 4908, 4920, 4932, 4944, 4956, 4968, 4980, 4992, 5004, 5016, 5028, 5040, 5052, 5064, 5076, 5088, 5100, 5112, 5124, 5136, 5148, 5160, 5172, 5184, 5196, 5208, 5220, 5232, 5244, 5256, 5268, 5280, 5292, 5304, 5316, 5328, 5340, 5352, 5364, 5376, 5388, 5400, 5412, 5424, 5436, 5448, 5460, 5472, 5484, 5496, 5508, 5520, 5532, 5544, 5556, 5568, 5580, 5592, 5604, 5616, 5628, 5640, 5652, 5664, 5676, 5688, 5700, 5712, 5724, 5736, 5748, 5760, 5772, 5784, 5796, 5808, 5820, 5832, 5844, 5856, 5868, 5880, 5892, 5904, 5916, 5928, 5940, 5952, 5964, 5976, 5988, 6000, 6012, 6024, 6036, 6048, 6060, 6072, 6084, 6096, 6108, 6120, 6132, 6144, 6156, 6168, 6180, 6192, 6204, 6216, 6228, 6240, 6252, 6264, 6276, 6288, 6300, 6312, 6324, 6336, 6348, 6360, 6372, 6384, 6396, 6408, 6420, 6432, 6444, 6456, 6468, 6480, 6492, 6504, 6516, 6528, 6540, 6552, 6564, 6576, 6588, 6600, 6612, 6624, 6636, 6648, 6660, 6672, 6684, 6696, 6708, 6720, 6732, 6744, 6756, 6768, 6780, 6792, 6804, 6816, 6828, 6840, 6852, 6864, 6876, 6888, 6900, 6912, 6924, 6936, 6948, 6960, 6972, 6984, 6996, 7008, 7020, 7032, 7044, 7056, 7068, 7080, 7092, 7104, 7116, 7128, 7140, 7152, 7164, 7176, 7188, 7200, 7212, 7224, 7236, 7248, 7260, 7272, 7284, 7296, 7308, 7320, 7332, 7344, 7356, 7368, 7380, 7392, 7404, 7416, 7428, 7440, 7452, 7464, 7476, 7488, 7500, 7512, 7524, 7536, 7548, 7560, 7572, 7584, 7596, 7608, 7620, 7632, 7644, 7656, 7668, 7680, 7692, 7704, 7716, 7728, 7740, 7752, 7764, 7776, 7788, 7800, 7812, 7824, 7836, 7848, 7860, 7872, 7884, 7896, 7908, 7920, 7932, 7944, 7956, 7968, 7980, 7992, 8004, 8016, 8028, 8040, 8052, 8064, 8076, 8088, 8100, 8112, 8124, 8136, 8148, 8160, 8172, 8184, 8196, 8208, 8220, 8232, 8244, 8256, 8268, 8280, 8292, 8304, 8316, 8328, 8340, 8352, 8364, 8376, 8388, 8400, 8412, 8424, 8436, 8448, 8460, 8472, 8484, 8496, 8508, 8520, 8532, 8544, 8556, 8568, 8580, 8592, 8604, 8616, 8628, 8640, 8652, 8664, 8676, 8688, 8700, 8712, 8724, 8736, 8748, 8760, 8772, 8784, 8796, 8808, 8820, 8832, 8844, 8856, 8868, 8880, 8892, 8904, 8916, 8928, 8940, 8952, 8964, 8976, 8988, 9000, 9012, 9024, 9036, 9048, 9060, 9072, 9084, 9096, 9108, 9120, 9132, 9144, 9156, 9168, 9180, 9192, 9204, 9216, 9228, 9240, 9252, 9264, 9276, 9288, 9300, 9312, 9324, 9336, 9348, 9360, 9372, 9384, 9396, 9408, 9420, 9432, 9444, 9456, 9468, 9480, 9492, 9504, 9516, 9528, 9540, 9552, 9564, 9576, 9588, 9600, 9612, 9624, 9636, 9648, 9660, 9672, 9684, 9696, 9708, 9720, 9732, 9744, 9756, 9768, 9780, 9792, 9804, 9816, 9828, 9840, 9852, 9864, 9876, 9888, 9900, 9912, 9924, 9936, 9948, 9960, 9972, 9984, 9996, 10008, 10020, 10032, 10044, 10056, 10068, 10080, 10092, 10104, 10116, 10128, 10140, 10152, 10164, 10176, 10188, 10200, 10212, 10224, 10236, 10248, 10260, 10272, 10284, 10296, 10308, 10320, 10332, 10344, 10356, 10368, 10380, 10392, 10404, 10416, 10428, 10440, 10452, 10464, 10476, 10488, 10500, 10512, 10524, 10536, 10548, 10560, 10572, 10584, 10596, 10608, 10620, 10632, 10644, 10656, 10668, 10680, 10692, 10704, 10716, 10728, 10740, 10752, 10764, 10776, 10788, 10800, 10812, 10824, 10836, 10848, 10860, 10872, 10884, 10896, 10908, 10920, 10932, 10944, 10956, 10968, 10980, 10992, 11004, 11016, 11028, 11040, 11052, 11064, 11076, 11088, 11100, 11112, 11124, 11136, 11148, 11160, 11172, 11184, 11196, 11208, 11220, 11232, 11244, 11256, 11268, 11280, 11292, 11304, 11316, 11328, 11340, 11352, 11364, 11376, 11388, 11400, 11412, 11424, 11436, 11448, 11460, 11472, 11484, 11496, 11508, 11520, 11532, 11544, 11556, 11568, 11580, 11592, 11604, 11616, 11628, 11640, 11652, 11664, 11676, 11688, 11700, 11712, 11724, 11736, 11748, 11760, 11772, 11784, 11796, 11808, 11820, 11832, 11844, 11856, 11868, 11880, 11892, 11904, 11916, 11928, 11940, 11952, 11964, 11976, 11988, 12000, 12012, 12024, 12036, 12048, 12060, 12072, 12084, 12096, 12108, 12120, 12132, 12144, 12156, 12168, 12180, 12192, 12204, 12216, 12228, 12240, 12252, 12264, 12276, 12288, 12300, 12312, 12324, 12336, 12348, 12360, 12372, 12384, 12396, 12408, 12420, 12432, 12444, 12456, 12468, 12480, 12492, 12504, 12516, 12528, 12540, 12552, 12564, 12576, 12588, 12600, 12612, 12624, 12636, 12648, 12660, 12672, 12684, 12696, 12708, 12720, 12732, 12744, 12756, 12768, 12780, 12792, 12804, 12816, 12828, 12840, 12852, 12864, 12876, 12888, 12900, 12912, 12924, 12936, 12948, 12960, 12972, 12984, 12996, 13008, 13020, 13032, 13044, 13056, 13068, 13080, 13092, 13104, 13116, 13128, 13140, 13152, 13164, 13176, 13188, 13200, 13212, 13224, 13236, 13248, 13260, 13272, 13284, 13296, 13308, 13320, 13332, 13344, 13356, 13368, 13380, 13392, 13404, 13416, 13428, 13440, 13452, 13464, 13476, 13488, 13500, 13512, 13524, 13536, 13548, 13560, 13572, 13584, 13596, 13608, 13620, 13632, 13644, 13656, 13668, 13680, 13692, 13704, 13716, 13728, 13740, 13752, 13764, 13776, 13788, 13800, 13812, 13824, 13836, 13848, 13860, 13872, 13884, 13896, 13908, 13920, 13932, 13944, 13956, 13968, 13980, 13992, 14004, 14016, 14028, 14040, 14052, 14064, 14076, 14088, 14100, 14112, 14124, 14136, 14148, 14160, 14172, 14184, 14196, 14208, 14220, 14232, 14244, 14256, 14268, 14280, 14292, 14304, 14316, 14328, 14340, 14352, 14364, 14376, 14388, 14400, 14412, 14424, 14436, 14448, 14460, 14472, 14484, 14496, 14508, 14520, 14532, 14544, 14556, 14568, 14580, 14592, 14604, 14616, 14628, 14640, 14652, 14664, 14676, 14688, 14700, 14712, 14724, 14736, 14748, 14760, 14772, 14784, 14796, 14808, 14820, 14832, 14844, 14856, 14868, 14880, 14892, 14904, 14916, 14928, 14940, 14952, 14964, 14976, 14988, 15000, 15012, 15024, 15036, 15048, 15060, 15072, 15084, 15096, 15108, 15120, 15132, 15144, 15156, 15168, 15180, 15192, 15204, 15216, 15228, 15240, 15252, 15264, 15276, 15288, 15300, 15312, 15324, 15336, 15348, 15360, 15372, 15384, 15396, 15408, 15420, 15432, 15444, 15456, 15468, 15480, 15492, 15504, 15516, 15528, 15540, 15552, 15564, 15576, 15588, 15600, 15612, 15624, 15636, 15648, 15660, 15672, 15684, 15696, 15708, 15720, 15732, 15744, 15756, 15768, 15780, 15792, 15804, 15816, 15828, 15840, 15852, 15864, 15876, 15888, 15900, 15912, 15924, 15936, 15948, 15960, 15972, 15984, 15996, 16008, 16020, 16032, 16044, 16056, 16068, 16080, 16092, 16104, 16116, 16128, 16140, 16152, 16164, 16176, 16188, 16200, 16212, 16224, 16236, 16248, 16260, 16272, 16284, 16296, 16308, 16320, 16332, 16344, 16356, 16368, 16380, 16392, 16404, 16416, 16428, 16440, 16452, 16464, 16476, 16488, 16500, 16512, 16524, 16536, 16548, 16560, 16572, 16584, 16596, 16608, 16620, 16632, 16644, 16656, 16668, 16680, 16692, 16704, 16716, 16728, 16740, 16752, 16764, 16776, 16788, 16800, 16812, 16824, 16836, 16848, 16860, 16872, 16884, 16896, 16908, 16920, 16932, 16944, 16956, 16968, 16980, 16992, 17004, 17016, 17028, 17040, 17052, 17064, 17076, 17088, 17100, 17112, 17124, 17136, 17148, 17160, 17172, 17184, 17196, 17208, 17220, 17232, 17244, 17256, 17268, 17280, 17292, 17304, 17316, 17328, 17340, 17352, 17364, 17376, 17388, 17400, 17412, 17424, 17436, 17448, 17460, 17472, 17484, 17496, 17508, 17520, 17532, 17544, 17556, 17568, 17580, 17592, 17604, 17616, 17628, 17640, 17652, 17664, 17676, 17688, 17700, 17712, 17724, 17736, 17748, 17760, 17772, 17784, 17796, 17808, 17820, 17832, 17844, 17856, 17868, 17880, 17892, 17904, 17916, 17928, 17940, 17952, 17964, 17976, 17988, 18000, 18012, 18024, 18036, 18048, 18060, 18072, 18084, 18096, 18108, 18120, 18132, 18144, 18156, 18168, 18180, 18192, 18204, 18216, 18228, 18240, 18252, 18264, 18276, 18288, 18300, 18312, 18324, 18336, 18348, 18360, 18372, 18384, 18396, 18408, 18420, 18432, 18444, 18456, 18468, 18480, 18492, 18504, 18516, 18528, 18540, 18552, 18564, 18576, 18588, 18600, 18612, 18624, 18636, 18648, 18660, 18672, 18684, 18696, 18708, 18720, 18732, 18744, 18756, 18768, 18780, 18792, 18804, 18816, 18828, 18840, 18852, 18864, 18876, 18888, 18900, 18912, 18924, 18936, 18948, 18960, 18972, 18984, 18996, 19008, 19020, 19032, 19044, 19056, 19068, 19080, 19092, 19104, 19116, 19128, 19140, 19152, 19164, 19176, 19188, 19200, 19212, 19224, 19236, 19248, 19260, 19272, 19284, 19296, 19308, 19320, 19332, 19344, 19356, 19368, 19380, 19392, 19404, 19416, 19428, 19440, 19452, 19464, 19476, 19488, 19500, 19512, 19524, 19536, 19548, 19560, 19572, 19584, 19596, 19608, 19620, 19632, 19644, 19656, 19668, 19680, 19692, 19704, 19716, 19728, 19740, 19752, 19764, 19776, 19788, 19800, 19812, 19824, 19836, 19848, 19860, 19872, 19884, 19896, 19908, 19920, 19932, 19944, 19956, 19968, 19980, 19992, 20004, 20016, 20028, 20040, 20052, 20064, 20076, 20088, 20100, 20112, 20124, 20136, 20148, 20160, 20172, 20184, 20196, 20208, 20220, 20232, 20244, 20256, 20268, 20280, 20292, 20304, 20316, 20328, 20340, 20352, 20364, 20376, 20388, 20400, 20412, 20424, 20436, 20448, 20460, 20472, 20484, 20496, 20508, 20520, 20532, 20544, 20556, 20568, 20580, 20592, 20604, 20616, 20628, 20640, 20652, 20664, 20676, 20688, 20700, 20712, 20724, 20736, 20748, 20760, 20772, 20784, 20796, 20808, 20820, 20832, 20844, 20856, 20868, 20880, 20892, 20904, 20916, 20928, 20940, 20952, 20964, 20976, 20988, 21000, 21012, 21024, 21036, 21048, 21060, 21072, 21084, 21096, 21108, 21120, 21132, 21144, 21156, 21168, 21180, 21192, 21204, 21216, 21228, 21240, 21252, 21264, 21276, 21288, 21300, 21312, 21324, 21336, 21348, 21360, 21372, 21384, 21396, 21408, 21420, 21432, 21444, 21456, 21468, 21480, 21492, 21504, 21516, 21528, 21540, 21552, 21564, 21576, 21588, 21600, 21612, 21624, 21636, 21648, 21660, 21672, 21684, 21696, 21708, 21720, 21732, 21744, 21756, 21768, 21780, 21792, 21804, 21816, 21828, 21840, 21852, 21864, 21876, 21888, 21900, 21912, 21924, 21936, 21948, 21960, 21972, 21984, 21996, 22008, 22020, 22032, 22044, 22056, 22068, 22080, 22092, 22104, 22116, 22128, 22140, 22152, 22164, 22176, 22188, 22200, 22212, 22224, 22236, 22248, 22260, 22272, 22284, 22296, 22308, 22320, 22332, 22344, 22356, 22368, 22380, 22392, 22404, 22416, 22428, 22440, 22452, 22464, 22476, 22488, 22500, 22512, 22524, 22536, 22548, 22560, 22572, 22584, 22596, 22608, 22620, 22632, 22644, 22656, 22668, 22680, 22692, 22704, 22716, 22728, 22740, 22752, 22764, 22776, 22788, 22800, 22812, 22824, 22836, 22848, 22860, 22872, 22884, 22896, 22908, 22920, 22932, 22944, 22956, 22968, 22980, 22992, 23004, 23016, 23028, 23040, 23052, 23064, 23076, 23088, 23100, 23112, 23124, 23136, 23148, 23160, 23172, 23184, 23196, 23208, 23220, 23232, 23244, 23256, 23268, 23280, 23292, 23304, 23316, 23328, 23340, 23352, 23364, 23376, 23388, 23400, 23412, 23424, 23436, 23448, 23460, 23472, 23484, 23496, 23508, 23520, 23532, 23544, 23556, 23568, 23580, 23592, 23604, 23616, 23628, 23640, 23652, 23664, 23676, 23688, 23700, 23712, 23724, 23736, 23748, 23760, 23772, 23784, 23796, 23808, 23820, 23832, 23844, 23856, 23868, 23880, 23892, 23904, 23916, 23928, 23940, 23952, 23964, 23976, 23988, 24000, 24012, 24024, 24036, 24048, 24060, 24072, 24084, 24096, 24108, 24120, 24132, 24144, 24156, 24168, 24180, 24192, 24204, 24216, 24228, 24240, 24252, 24264, 24276, 24288, 24300, 24312, 24324, 24336, 24348, 24360, 24372, 24384, 24396, 24408, 24420, 24432, 24444, 24456, 24468, 24480, 24492, 24504, 24516, 24528, 24540, 24552, 24564, 24576, 24588, 24600, 24612, 24624, 24636, 24648, 24660, 24672, 24684, 24696, 24708, 24720, 24732, 24744, 24756, 24768, 24780, 24792, 24804, 24816, 24828, 24840, 24852, 24864, 24876, 24888, 24900, 24912, 24924, 24936, 24948, 24960, 24972, 24984, 24996, 25008, 25020, 25032, 25044, 25056, 25068, 25080, 25092, 25104, 25116, 25128, 25140, 25152, 25164, 25176, 25188, 25200, 25212, 25224, 25236, 25248, 25260, 25272, 25284, 25296, 25308, 25320, 25332, 25344, 25356, 25368, 25380, 25392, 25404, 25416, 25428, 25440, 25452, 25464, 25476, 25488, 25500, 25512, 25524, 25536, 25548, 25560, 25572, 25584, 25596, 25608, 25620, 25632, 25644, 25656, 25668, 25680, 25692, 25704, 25716, 25728, 25740, 25752, 25764, 25776, 25788, 25800, 25812, 25824, 25836, 25848, 25860, 25872, 25884, 25896, 25908, 25920, 25932, 25944, 25956, 25968, 25980, 25992, 26004, 26016, 26028, 26040, 26052, 26064, 26076, 26088, 26100, 26112, 26124, 26136, 26148, 26160, 26172, 26184, 26196, 26208, 26220, 26232, 26244, 26256, 26268, 26280, 26292, 26304, 26316, 26328, 26340, 26352, 26364, 26376, 26388, 26400, 26412, 26424, 26436, 26448, 26460, 26472, 26484, 26496, 26508, 26520, 26532, 26544, 26556, 26568, 26580, 26592, 26604, 26616, 26628, 26640, 26652, 26664, 26676, 26688, 26700, 26712, 26724, 26736, 26748, 26760, 26772, 26784, 26796, 26808, 26820, 26832, 26844, 26856, 26868, 26880, 26892, 26904, 26916, 26928, 26940, 26952, 26964, 26976, 26988, 27000, 27012, 27024, 27036, 27048, 27060, 27072, 27084, 27096, 27108, 27120, 27132, 27144, 27156, 27168, 27180, 27192, 27204, 27216, 27228, 27240, 27252, 27264, 27276, 27288, 27300, 27312, 27324, 27336, 27348, 27360, 27372, 27384, 27396, 27408, 27420, 27432, 27444, 27456, 27468, 27480, 27492, 27504, 27516, 27528, 27540, 27552, 27564, 27576, 27588, 27600, 27612, 27624, 27636, 27648, 27660, 27672, 27684, 27696, 27708, 27720, 27732, 27744, 27756, 27768, 27780, 27792, 27804, 27816, 27828, 27840, 27852, 27864, 27876, 27888, 27900, 27912, 27924, 27936, 27948, 27960, 27972, 27984, 27996, 28008, 28020, 28032, 28044, 28056, 28068, 28080, 28092, 28104, 28116, 28128, 28140, 28152, 28164, 28176, 28188, 28200, 28212, 28224, 28236, 28248, 28260, 28272, 28284, 28296, 28308, 28320, 28332, 28344, 28356, 28368, 28380, 28392, 28404, 28416, 28428, 28440, 28452, 28464, 28476, 28488, 28500, 28512, 28524, 28536, 28548, 28560, 28572, 28584, 28596, 28608, 28620, 28632, 28644, 28656, 28668, 28680, 28692, 28704, 28716, 28728, 28740, 28752, 28764, 28776, 28788, 28800, 28812, 28824, 28836, 28848, 28860, 28872, 28884, 28896, 28908, 28920, 28932, 28944, 28956, 28968, 28980, 28992, 29004, 29016, 29028, 29040, 29052, 29064, 29076, 29088, 29100, 29112, 29124, 29136, 29148, 29160, 29172, 29184, 29196, 29208, 29220, 29232, 29244, 29256, 29268, 29280, 29292, 29304, 29316, 29328, 29340, 29352, 29364, 29376, 29388, 29400, 29412, 29424, 29436, 29448, 29460, 29472, 29484, 29496, 29508, 29520, 29532, 29544, 29556, 29568, 29580, 29592, 29604, 29616, 29628, 29640, 29652, 29664, 29676, 29688, 29700, 29712, 29724, 29736, 29748, 29760, 29772, 29784, 29796, 29808, 29820, 29832, 29844, 29856, 29868, 29880, 29892, 29904, 29916, 29928, 29940, 29952, 29964, 29976, 29988, 30000, 30012, 30024, 30036, 30048, 30060, 30072, 30084, 30096, 30108, 30120, 30132, 30144, 30156, 30168, 30180, 30192, 30204, 30216, 30228, 30240, 30252, 30264, 30276, 30288, 30300, 30312, 30324, 30336, 30348, 30360, 30372, 30384, 30396, 30408, 30420, 30432, 30444, 30456, 30468, 30480, 30492, 30504, 30516, 30528, 30540, 30552, 30564, 30576, 30588, 30600, 30612, 30624, 30636, 30648, 30660, 30672, 30684, 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129420, 129432, 129444, 129456, 129468, 129480, 129492, 129504, 129516, 129528, 129540, 129552, 129564, 129576, 129588, 129600, 129612, 129624, 129636, 129648, 129660, 129672, 129684, 129696, 129708, 129720, 129732, 129744, 129756, 129768, 129780, 129792, 129804, 129816, 129828, 129840, 129852, 129864, 129876, 129888, 129900, 129912, 129924, 129936, 129948, 129960, 129972, 129984, 129996, 130008, 130020, 130032, 130044, 130056, 130068, 130080, 130092, 130104, 130116, 130128, 130140, 130152, 130164, 130176, 130188, 130200, 130212, 130224, 130236, 130248, 130260, 130272, 130284, 130296, 130308, 130320, 130332, 130344, 130356, 130368, 130380, 130392, 130404, 130416, 130428, 130440, 130452, 130464, 130476, 130488, 130500, 130512, 130524, 130536, 130548, 130560, 130572, 130584, 130596, 130608, 130620, 130632, 130644, 130656, 130668, 130680, 130692, 130704, 130716, 130728, 130740, 130752, 130764, 130776, 130788, 130800, 130812, 130824, 130836, 130848, 130860, 130872, 130884, 130896, 130908, 130920, 130932, 130944, 130956, 130968, 130980, 130992, 131004, 131016, 131028, 131040, 131052, 131064, 131076, 131088, 131100, 131112, 131124, 131136, 131148, 131160, 131172, 131184, 131196, 131208, 131220, 131232, 131244, 131256, 131268, 131280, 131292, 131304, 131316, 131328, 131340, 131352, 131364, 131376, 131388, 131400, 131412, 131424, 131436, 131448, 131460, 131472, 131484, 131496, 131508, 131520, 131532, 131544, 131556, 131568, 131580, 131592, 131604, 131616, 131628, 131640, 131652, 131664, 131676, 131688, 131700, 131712, 131724, 131736, 131748, 131760, 131772, 131784, 131796, 131808, 131820, 131832, 131844, 131856, 131868, 131880, 131892, 131904, 131916, 131928, 131940, 131952, 131964, 131976, 131988, 132000, 132012, 132024, 132036, 132048, 132060, 132072, 132084, 132096, 132108, 132120, 132132, 132144, 132156, 132168, 132180, 132192, 132204, 132216, 132228, 132240, 132252, 132264, 132276, 132288, 132300, 132312, 132324, 132336, 132348, 132360, 132372, 132384, 132396, 132408, 132420, 132432, 132444, 132456, 132468, 132480, 132492, 132504, 132516, 132528, 132540, 132552, 132564, 132576, 132588, 132600, 132612, 132624, 132636, 132648, 132660, 132672, 132684, 132696, 132708, 132720, 132732, 132744, 132756, 132768, 132780, 132792, 132804, 132816, 132828, 132840, 132852, 132864, 132876, 132888, 132900, 132912, 132924, 132936, 132948, 132960, 132972, 132984, 132996, 133008, 133020, 133032, 133044, 133056, 133068, 133080, 133092, 133104, 133116, 133128, 133140, 133152, 133164, 133176, 133188, 133200, 133212, 133224, 133236, 133248, 133260, 133272, 133284, 133296, 133308, 133320, 133332, 133344, 133356, 133368, 133380, 133392, 133404, 133416, 133428, 133440, 133452, 133464, 133476, 133488, 133500, 133512, 133524, 133536, 133548, 133560, 133572, 133584, 133596, 133608, 133620, 133632, 133644, 133656, 133668, 133680, 133692, 133704, 133716, 133728, 133740, 133752, 133764, 133776, 133788, 133800, 133812, 133824, 133836, 133848, 133860, 133872, 133884, 133896, 133908, 133920, 133932, 133944, 133956, 133968, 133980, 133992, 134004, 134016, 134028, 134040, 134052, 134064, 134076, 134088, 134100, 134112, 134124, 134136, 134148, 134160, 134172, 134184, 134196, 134208, 134220, 134232, 134244, 134256, 134268, 134280, 134292, 134304, 134316, 134328, 134340, 134352, 134364, 134376, 134388, 134400, 134412, 134424, 134436, 134448, 134460, 134472, 134484, 134496, 134508, 134520, 134532, 134544, 134556, 134568, 134580, 134592, 134604, 134616, 134628, 134640, 134652, 134664, 134676, 134688, 134700, 134712, 134724, 134736, 134748, 134760, 134772, 134784, 134796, 134808, 134820, 134832, 134844, 134856, 134868, 134880, 134892, 134904, 134916, 134928, 134940, 134952, 134964, 134976, 134988, 135000, 135012, 135024, 135036, 135048, 135060, 135072, 135084, 135096, 135108, 135120, 135132, 135144, 135156, 135168, 135180, 135192, 135204, 135216, 135228, 135240, 135252, 135264, 135276, 135288, 135300, 135312, 135324, 135336, 135348, 135360, 135372, 135384, 135396, 135408, 135420, 135432, 135444, 135456, 135468, 135480, 135492, 135504, 135516, 135528, 135540, 135552, 135564, 135576, 135588, 135600, 135612, 135624, 135636, 135648, 135660, 135672, 135684, 135696, 135708, 135720, 135732, 135744, 135756, 135768, 135780, 135792, 135804, 135816, 135828, 135840, 135852, 135864, 135876, 135888, 135900, 135912, 135924, 135936, 135948, 135960, 135972, 135984, 135996, 136008, 136020, 136032, 136044, 136056, 136068, 136080, 136092, 136104, 136116, 136128, 136140, 136152, 136164, 136176, 136188, 136200, 136212, 136224, 136236, 136248, 136260, 136272, 136284, 136296, 136308, 136320, 136332, 136344, 136356, 136368, 136380, 136392, 136404, 136416, 136428, 136440, 136452, 136464, 136476, 136488, 136500, 136512, 136524, 136536, 136548, 136560, 136572, 136584, 136596, 136608, 136620, 136632, 136644, 136656, 136668, 136680, 136692, 136704, 136716, 136728, 136740, 136752, 136764, 136776, 136788, 136800, 136812, 136824, 136836, 136848, 136860, 136872, 136884, 136896, 136908, 136920, 136932, 136944, 136956, 136968, 136980, 136992, 137004, 137016, 137028, 137040, 137052, 137064, 137076, 137088, 137100, 137112, 137124, 137136, 137148, 137160, 137172, 137184, 137196, 137208, 137220, 137232, 137244, 137256, 137268, 137280, 137292, 137304, 137316, 137328, 137340, 137352, 137364, 137376, 137388, 137400, 137412, 137424, 137436, 137448, 137460, 137472, 137484, 137496, 137508, 137520, 137532, 137544, 137556, 137568, 137580, 137592, 137604, 137616, 137628, 137640, 137652, 137664, 137676, 137688, 137700, 137712, 137724, 137736, 137748, 137760, 137772, 137784, 137796, 137808, 137820, 137832, 137844, 137856, 137868, 137880, 137892, 137904, 137916, 137928, 137940, 137952, 137964, 137976, 137988, 138000, 138012, 138024, 138036, 138048, 138060, 138072, 138084, 138096, 138108, 138120, 138132, 138144, 138156, 138168, 138180, 138192, 138204, 138216, 138228, 138240, 138252, 138264, 138276, 138288, 138300, 138312, 138324, 138336, 138348, 138360, 138372, 138384, 138396, 138408, 138420, 138432, 138444, 138456, 138468, 138480, 138492, 138504, 138516, 138528, 138540, 138552, 138564, 138576, 138588, 138600, 138612, 138624, 138636, 138648, 138660, 138672, 138684, 138696, 138708, 138720, 138732, 138744, 138756, 138768, 138780, 138792, 138804, 138816, 138828, 138840, 138852, 138864, 138876, 138888, 138900, 138912, 138924, 138936, 138948, 138960, 138972, 138984, 138996, 139008, 139020, 139032, 139044, 139056, 139068, 139080, 139092, 139104, 139116, 139128, 139140, 139152, 139164, 139176, 139188, 139200, 139212, 139224, 139236, 139248, 139260, 139272, 139284, 139296, 139308, 139320, 139332, 139344, 139356, 139368, 139380, 139392, 139404, 139416, 139428, 139440, 139452, 139464, 139476, 139488, 139500, 139512, 139524, 139536, 139548, 139560, 139572, 139584, 139596, 139608, 139620, 139632, 139644, 139656, 139668, 139680, 139692, 139704, 139716, 139728, 139740, 139752, 139764, 139776, 139788, 139800, 139812, 139824, 139836, 139848, 139860, 139872, 139884, 139896, 139908, 139920, 139932, 139944, 139956, 139968, 139980, 139992, 140004, 140016, 140028, 140040, 140052, 140064, 140076, 140088, 140100, 140112, 140124, 140136, 140148, 140160, 140172, 140184, 140196, 140208, 140220, 140232, 140244, 140256, 140268, 140280, 140292, 140304, 140316, 140328, 140340, 140352, 140364, 140376, 140388, 140400, 140412, 140424, 140436, 140448, 140460, 140472, 140484, 140496, 140508, 140520, 140532, 140544, 140556, 140568, 140580, 140592, 140604, 140616, 140628, 140640, 140652, 140664, 140676, 140688, 140700, 140712, 140724, 140736, 140748, 140760, 140772, 140784, 140796, 140808, 140820, 140832, 140844, 140856, 140868, 140880, 140892, 140904, 140916, 140928, 140940, 140952, 140964, 140976, 140988, 141000, 141012, 141024, 141036, 141048, 141060, 141072, 141084, 141096, 141108, 141120, 141132, 141144, 141156, 141168, 141180, 141192, 141204, 141216, 141228, 141240, 141252, 141264, 141276, 141288, 141300, 141312, 141324, 141336, 141348, 141360, 141372, 141384, 141396, 141408, 141420, 141432, 141444, 141456, 141468, 141480, 141492, 141504, 141516, 141528, 141540, 141552, 141564, 141576, 141588, 141600, 141612, 141624, 141636, 141648, 141660, 141672, 141684, 141696, 141708, 141720, 141732, 141744, 141756, 141768, 141780, 141792, 141804, 141816, 141828, 141840, 141852, 141864, 141876, 141888, 141900, 141912, 141924, 141936, 141948, 141960, 141972, 141984, 141996, 142008, 142020, 142032, 142044, 142056, 142068, 142080, 142092, 142104, 142116, 142128, 142140, 142152, 142164, 142176, 142188, 142200, 142212, 142224, 142236, 142248, 142260, 142272, 142284, 142296, 142308, 142320, 142332, 142344, 142356, 142368, 142380, 142392, 142404, 142416, 142428, 142440, 142452, 142464, 142476, 142488, 142500, 142512, 142524, 142536, 142548, 142560, 142572, 142584, 142596, 142608, 142620, 142632, 142644, 142656, 142668, 142680, 142692, 142704, 142716, 142728, 142740, 142752, 142764, 142776, 142788, 142800, 142812, 142824, 142836, 142848, 142860, 142872, 142884, 142896, 142908, 142920, 142932, 142944, 142956, 142968, 142980, 142992, 143004, 143016, 143028, 143040, 143052, 143064, 143076, 143088, 143100, 143112, 143124, 143136, 143148, 143160, 143172, 143184, 143196, 143208, 143220, 143232, 143244, 143256, 143268, 143280, 143292, 143304, 143316, 143328, 143340, 143352, 143364, 143376, 143388, 143400, 143412, 143424, 143436, 143448, 143460, 143472, 143484, 143496, 143508, 143520, 143532, 143544, 143556, 143568, 143580, 143592, 143604, 143616, 143628, 143640, 143652, 143664, 143676, 143688, 143700, 143712, 143724, 143736, 143748, 143760, 143772, 143784, 143796, 143808, 143820, 143832, 143844, 143856, 143868, 143880, 143892, 143904, 143916, 143928, 143940, 143952, 143964, 143976, 143988, 144000

Hence, LCM of 12000 and 12 is 12000.

Steps to find LCM of 12000 and 12 by Common Division Method

Example: Find lcm of 12000 and 12 by Common Division Method

2 12000 12
2 6000 6
2 3000 3
2 1500 3
2 750 3
3 375 3
5 125 1
5 25 1
5 5 1
1 1

Hence, LCM of 12000 and 12 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 = 12000.

Steps to find lcm of 12000 and 12 by Formula

Example: Find lcm of 12000 and 12 by Formula

  • GCF of 12000 and 12 = 12
  • LCM of 12000 and 12 = (12000 x 12) / 12
  • => 144000 / 12

Hence, LCM of 12000 and 12 is 12000.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 12000 and 12 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 12000 and 12 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 12000 and 12.
So, LCM of 12000 and 12 is 12000.

A shopkeeper sells candies in packet of 12000 and chocolates in packet of 12. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 12000 and 12.
So, LCM of 12000 and 12 is 12000.

Both the cricket team and the rugby team had games, today. The cricket team plays every 12000 days and the basketball team plays every 12 days. When will both teams have games on the same day again?

Given that the cricket team plays every 12000 days and the basketball team plays every 12 days, so for finding the next time when both teams will play again we need to find the LCM of 12000 and 12.
So, LCM of 12000 and 12 is 12000.

Sammy's company prints 12000 textbooks at a time. Daniel's company prints textbooks in sets of 12 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 12000 and 12.
So, LCM of 12000 and 12 is 12000.

Ariel exercises every 12000 days and Rubel every 12 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 12000 and 12 is 12000.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 12000 and 12 is GCF(12000, 12) * LCM(12000, 12) = (12000 x 12) / GCF(12000, 12) = 12000.

Find the least number which is exactly divisible by 12000 and 12.

Least number which is exactly divisible by 12000 and 12 is 12000.

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