# Question: What is the LCM of 12 and 48?

__The LCM __(l__east common multiple__) of two or more numbers is the smallest number which is exactly divisible by the given numbers, which means LCM is the least among the common multiples of the given numbers.

## Answer: LCM of 12 and 48 is 48

LCM of 12 and 48 is the least number which is exactly divisible by both the numbers.

## Explanation:

### LCM of 12 and 48 by Listing Method

In this method, we list the first few multiples of 12 and 48 and identify the common multiples.

The least among the common multiples is the LCM of 12 and 48

Here, one of the given numbers, 48 is the multiple of 12. Then the least common multiple of 24 and 48 would be 48. As 48 is the least multiple of 48 and it is multiple of 24 too.

Therefore, LCM(24,48) is 48