# What is the LCM of 6 and 22?

LCM of 6 and 22 is the smallest number which divides both of them exactly without leaving a remainder.

## Answer: LCM of 6 and 22 is 180.

The least common multiple of 6 and 22 is the smallest number that is exactly divisible by both of them without any remainder.

## Explanation:

Let us see how to calculate it below:

### LCM of 6 and 22 using Common Division Method

In this method, we divide both 6 and 22 simultaneously with prime numbers until we don't have a prime number to further divide them. We used the prime numbers 2, 3 and 11 to divide 6 and 22. The product of these prime numbers is the LCM of 6 and 22.

### LCM of 6 and 22 by listing the common factors:

In this method, we list the first few multiples of 6 and 22 to identify their common multiples.

Multiples of 6= 6,12, 18, 24, 30, 36, 42, 48, 54, 60, **66**,...

Multiples of 22= 22, 44, **66**,...

The least among the common multiples of 6 and 22 is 66, which is the LCM of 6 and 22.