# What is The LCM of 72 and 108?

The least common multiple or LCM of 72 and 108 is the least number which is exactly divisible by both 72 and 108.

## Answer: LCM of 72 and 108 is 216

## Explanation:

LCM or the least common multiple is the minimum possible number which the given numbers divide exactly, without leaving any remainder. The LCM of the numbers can be calculated in many ways, the commonly used methods are listed below.

### Find LCM of 72 and 108 by Listing Method

In this method, we list the first few multiples of 72 and 108 and identify the common multiples.

The least among the common multiples is the LCM of 72 and 108

### LCM of 72 and 108 by Formula

The formula of LCM is LCM(a,b) = ( a \(\times\) b) / GCF (a,b)

The Greatest Common Factor of (72,108) = 36

Therefore

LCM of 72 and 108 = (72 \(\times\) 108) / 36

= 7776/36 = 216

LCM of 72 and 108 = 216

Whichever method we opt, the LCM of 72 and 108 is the same as 216.