What is the LCM of 121 and 169 - Find out answer step by step

What is LCM of two numbers?

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 121 and 169.

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(121, 169) = LCM(169, 121).
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 given numbers is always greater than the given numbers numbers. Eg- LCM of 121 and 169 is 20449, where 20449 is greater than 121 and 169.

Steps to find lcm of 121 and 169 by Listing Method

Find some first multiples of 121 and 169.
Find the least common multiple, and read off the answer!

Example: Find lcm of 121 and 169 by Listing Method

Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1089, 1210, 1331, 1452, 1573, 1694, 1815, 1936, 2057, 2178, 2299, 2420, 2541, 2662, 2783, 2904, 3025, 3146, 3267, 3388, 3509, 3630, 3751, 3872, 3993, 4114, 4235, 4356, 4477, 4598, 4719, 4840, 4961, 5082, 5203, 5324, 5445, 5566, 5687, 5808, 5929, 6050, 6171, 6292, 6413, 6534, 6655, 6776, 6897, 7018, 7139, 7260, 7381, 7502, 7623, 7744, 7865, 7986, 8107, 8228, 8349, 8470, 8591, 8712, 8833, 8954, 9075, 9196, 9317, 9438, 9559, 9680, 9801, 9922, 10043, 10164, 10285, 10406, 10527, 10648, 10769, 10890, 11011, 11132, 11253, 11374, 11495, 11616, 11737, 11858, 11979, 12100, 12221, 12342, 12463, 12584, 12705, 12826, 12947, 13068, 13189, 13310, 13431, 13552, 13673, 13794, 13915, 14036, 14157, 14278, 14399, 14520, 14641, 14762, 14883, 15004, 15125, 15246, 15367, 15488, 15609, 15730, 15851, 15972, 16093, 16214, 16335, 16456, 16577, 16698, 16819, 16940, 17061, 17182, 17303, 17424, 17545, 17666, 17787, 17908, 18029, 18150, 18271, 18392, 18513, 18634, 18755, 18876, 18997, 19118, 19239, 19360, 19481, 19602, 19723, 19844, 19965, 20086, 20207, 20328, 20449
Multiples of 169: 169, 338, 507, 676, 845, 1014, 1183, 1352, 1521, 1690, 1859, 2028, 2197, 2366, 2535, 2704, 2873, 3042, 3211, 3380, 3549, 3718, 3887, 4056, 4225, 4394, 4563, 4732, 4901, 5070, 5239, 5408, 5577, 5746, 5915, 6084, 6253, 6422, 6591, 6760, 6929, 7098, 7267, 7436, 7605, 7774, 7943, 8112, 8281, 8450, 8619, 8788, 8957, 9126, 9295, 9464, 9633, 9802, 9971, 10140, 10309, 10478, 10647, 10816, 10985, 11154, 11323, 11492, 11661, 11830, 11999, 12168, 12337, 12506, 12675, 12844, 13013, 13182, 13351, 13520, 13689, 13858, 14027, 14196, 14365, 14534, 14703, 14872, 15041, 15210, 15379, 15548, 15717, 15886, 16055, 16224, 16393, 16562, 16731, 16900, 17069, 17238, 17407, 17576, 17745, 17914, 18083, 18252, 18421, 18590, 18759, 18928, 19097, 19266, 19435, 19604, 19773, 19942, 20111, 20280, 20449

Hence, LCM of 121 and 169 is 20449.

Steps to find LCM of 121 and 169 by Common Division Method

Find all the prime numbers that would divide 121 and 169 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 121 and 169 by Common Division Method

11	121 169
11	11 169
13	1 169
13	1 13
	1 1

Hence, LCM of 121 and 169 is 11 x 11 x 13 x 13 = 20449.

Steps to find lcm of 121 and 169 by Formula

The formula for LCM is LCM (121, 169) = (121 x 169) / GCF (121, 169)
Apply the formula, and read off the answer!

Example: Find lcm of 121 and 169 by Formula

GCF of 121 and 169 = 1
LCM of 121 and 169 = (121 x 169) / 1
=> 20449 / 1

Hence, LCM of 121 and 169 is 20449.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 121 and 169 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 121 and 169 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 121 and 169.
So, LCM of 121 and 169 is 20449.

A shopkeeper sells candies in packet of 121 and chocolates in packet of 169. 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 121 and 169.
So, LCM of 121 and 169 is 20449.

Boxes that are 121 inches tall are being pilled next to boxes that are 169 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 121 and 169.
So, LCM of 121 and 169 is 20449.

Sammy's company prints 121 textbooks at a time. Daniel's company prints textbooks in sets of 169 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 121 and 169.
So, LCM of 121 and 169 is 20449.

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

Greatest common factors or gcf of 121 and 169 is GCF(121, 169) * LCM(121, 169) = (121 x 169) / GCF(121, 169) = 20449.

Find the least number which is exactly divisible by 121 and 169.

Least number which is exactly divisible by 121 and 169 is 20449.

Find the LCM of 121 and 169 using GCF method.

Greatest common factor or gcf of 121 and 169 is GCF(121, 169) x LCM(121, 169) = (121 x 169) / GCF(121, 169) = 20449.

What is LCM of 121 and 169?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 121 and 169 by Listing Method

Example: Find lcm of 121 and 169 by Listing Method

Steps to find LCM of 121 and 169 by Common Division Method

Example: Find lcm of 121 and 169 by Common Division Method

Steps to find lcm of 121 and 169 by Formula

Example: Find lcm of 121 and 169 by Formula

Examples

What is LCM of 121 and 169?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 121 and 169 by Listing Method

Example: Find lcm of 121 and 169 by Listing Method

Steps to find LCM of 121 and 169 by Common Division Method

Example: Find lcm of 121 and 169 by Common Division Method

Steps to find lcm of 121 and 169 by Formula

Example: Find lcm of 121 and 169 by Formula

Examples

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