# What is the LCM of 21 and 49?

LCM of 21 and 49 is the smallest number which divides both 21 and 49 exactly without a remainder.

## Answer: LCM of 21 and 49 is 147

Lets see how to find the LCM of 21 and 49

## Explanation:

For 21 and 49, the smallest number which would be perfectly divisible by them is their LCM which is 147. Let us see how to calculate it below:

Least Common Multiple is the smallest number that will divide 21 and 49 exactly.

## Methods to Find LCM of 21 and 49

### LCM of 21 and 49 by Common Division Method

Here we will divide the numbers 21 and 49 simultaneously with prime numbers until we don't have a prime number to further divide both 21 and 49

### LCM of 21 and 49 by Formula

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

The Greatest Common Factor of (21, 49) = 7

Therefore

LCM of 21 and 49 = (21 × 49) / 7

= 1029/7 = 147

LCM of 21 and 49 = 147