# What is the LCM of 21 and 22?

LCM of 21 and 22 is the smallest number that is exactly divisible by both of them.

## Answer: LCM of 21 and 22 is 462.

Let us see how to find the LCM of 21 and 22.

## Explanation:

Least Common Multiple is the smallest number that will divide 21 and 22 exactly.

For 21 and 22, the smallest number which would be perfectly divisible by them is 462. Let us see how to calculate it below:

### LCM of 21 and 22 using Common Division Method

Here we will divide both 21 and 22 concurrently with prime numbers until we don't have a prime number to further divide them.The product of prime number used in the division is the LCM of 21 and 22.

### LCM of 21 and 22 by using Prime factorization:

In this method, we will write 21 and 22 as the product of its prime factors and then multiply the common and uncommon factors to get the LCM.

Prime factorization of 21 = 7×3

Prime factorization of 22 = 2×11

The prime factors 2, 3, 5 and 7 occur once in the prime factorization.

So, the product of all these prime factors is the LCM of 21 and 22, which is 2^{ }×3×7×11 = 462.