# What is the LCM of 24 and 60?

The least common multiple of 24 and 60 is the least number which is exactly divisible by both 24 and 60.

## Answer: LCM of 24 and 60 is 120

Look at the commonly used methods to find the LCM of 24 and 60.

### Find LCM of 24 and 60 by Listing Method

In this method, we list the first few multiples of 24 and 60 and identify the common multiples.

LCM of 24 and 60 is the least among the common multiples of 24 and 60

### Find LCM of 24 and 60 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The GCF of (24, 60) = 12

Therefore

LCM (24, 60) = (24 × 60) / 12

= 1440 / 12

= 120

So, the least common multiple of 24 and 60 is 120