LCM of 72 and 144 is 144

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 72 and 144

- The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 72 and 144 is 144, where 72 and 144 are less than 144.
- LCM is associative which means LCM(72, 144) = LCM(144, 72).
- 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.

- Find some first multiples of 72 and 144.
- Find the least common multiple, and read off the answer!

- Multiples of
**72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944, 2016, 2088, 2160, 2232, 2304, 2376, 2448, 2520, 2592, 2664, 2736, 2808, 2880, 2952, 3024, 3096, 3168, 3240, 3312, 3384, 3456, 3528, 3600, 3672, 3744, 3816, 3888, 3960, 4032, 4104, 4176, 4248, 4320, 4392, 4464, 4536, 4608, 4680, 4752, 4824, 4896, 4968, 5040, 5112, 5184, 5256, 5328, 5400, 5472, 5544, 5616, 5688, 5760, 5832, 5904, 5976, 6048, 6120, 6192, 6264, 6336, 6408, 6480, 6552, 6624, 6696, 6768, 6840, 6912, 6984, 7056, 7128, 7200, 7272, 7344, 7416, 7488, 7560, 7632, 7704, 7776, 7848, 7920, 7992, 8064, 8136, 8208, 8280, 8352, 8424, 8496, 8568, 8640, 8712, 8784, 8856, 8928, 9000, 9072, 9144, 9216, 9288, 9360, 9432, 9504, 9576, 9648, 9720, 9792, 9864, 9936, 10008, 10080, 10152, 10224, 10296, 10368** - Multiples of
**144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440, 1584, 1728, 1872, 2016, 2160, 2304, 2448, 2592, 2736, 2880, 3024, 3168, 3312, 3456, 3600, 3744, 3888, 4032, 4176, 4320, 4464, 4608, 4752, 4896, 5040, 5184, 5328, 5472, 5616, 5760, 5904, 6048, 6192, 6336, 6480, 6624, 6768, 6912, 7056, 7200, 7344, 7488, 7632, 7776, 7920, 8064, 8208, 8352, 8496, 8640, 8784, 8928, 9072, 9216, 9360, 9504, 9648, 9792, 9936, 10080, 10224, 10368**

Hence, LCM of
*72* and *144* is **144**.

- Find all the prime numbers that would divide 72 and 144 without leaving any remainder.
- Multiply the numbers obtained in step 1, and read off the answer!

2 | 72 144 |

2 | 36 72 |

2 | 18 36 |

2 | 9 18 |

3 | 9 9 |

3 | 3 3 |

1 1 |

Hence, LCM of
*72* and *144* is **2 x 2 x 2 x 2 x 3 x 3 = 144**.

- The formula for LCM is LCM (72, 144) = (72 x 144) / GCF (72, 144)
- Apply the formula, and read off the answer!

- GCF of
**72 and 144 = 72** - LCM of
**72 and 144 = (72 x 144) / 72** **=> 10368 / 72**

Hence, LCM of
*72* and *144* is **144**.

Franky and Joy are running on a circular track. They take 72 and 144 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 72 and 144.

So, LCM of 72 and 144 is 144.

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 72 and 144.

So, LCM of 72 and 144 is 144.

Given that the cricket team plays every 72 days and the basketball team plays every 144 days, so for finding the next time when both teams will play again we need to find the LCM of 72 and 144.

So, LCM of 72 and 144 is 144.

To find the least number of textbooks that each company could have printed we need to find the LCM of 72 and 144.

So, LCM of 72 and 144 is 144.

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 72 and 144 is 144.

Greatest common factors or gcf of 72 and 144 is GCF(72, 144) * LCM(72, 144) = (72 x 144) / GCF(72, 144) = 144.

Least number which is exactly divisible by 72 and 144 is 144.