# What is the LCM of 12 and 22?

LCM of 12 and 22 is the smallest number which divides both 12 and 22 exactly without a remainder.

## Answer: LCM of 12 and 22 is 132

## Explanation:

For 12 and 22, the smallest number which would be perfectly divisible by them is their LCM which is 132. Let us see how to calculate it below:

Least Common Multiple of 12 and 22 is the smallest number that will divide 12 and 22 exactly.

### LCM of 12 and 22 by Listing the common multiples Method

List the first few multiples of 12 and 22 and find the common multiples.

- Multiples of 12 are 12,
**132**, 144, 156 - Multiples of 22 are 22, 44, 66, 88, 110,
**132**, 154, 176

The smallest among the common multiples is the LCM of 12 and 22, which in the above case we can see is 132. So, the LCM of 12 and 22 is 132

### LCM of 12 and 22 by Common Division Method

Here we will divide the numbers 12 and 22 simultaneously with prime numbers until we don't have a prime number to further divide both 12 and 22.

LCM of 12 and 22 will be the product of these primes.

So, LCM (12, 22) = 2 × 2 × 3 × 11 = 132