# What is the LCM of 48 and 56?

Least Common Multiple of 48 and 56 is the smallest number which will divide 48 and 56 exactly.

## Answer: LCM of 48 and 56 is 336

Lets see how to find the LCM of 48 and 56

## Explanation:

For 48 and 56, the smallest number which would be perfectly divisible by them is their LCM, which is 336. Let us see how to calculate the LCM of 48 and 56 using two methods.

### LCM of 48 and 56 by Common Division Method

Here we will divide the numbers 48 and 56 simultaneously with prime numbers until we don't have a prime number to further divide both 48 and 56.

### LCM of 48 and 56 by Formula

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

The Greatest Common Factor of (48, 56) = 8. So, GCF (48, 56) = 8

Therefore, LCM of 48 and 56 = (48 × 56) / 8 = 2688/8 = 336

LCM of 48 and 56 = 336