# What is The LCM of 6 and 21?

LCM of 6 and 21 is the least number which is exactly divisible by both 6 and 21

## Answer: LCM of 6 and 21 is 42

## Explanation:

Least Common Multiple .is the smallest number which the given two numbers would divide perfectly

We can find the LCM of the numbers in many ways the commonly used methods are listed below.

### LCM of 6 and 21 obtained by Listing Method

- List the first few multiples of 6 and 21
- Identify the common multiples.
- The least among the common multiples is the LCM of 6 and 21

### LCM of 6 and 21 obtained by Formula

The product of any two number 'a' and 'b' is equal to the product of their LCM and GCF.

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

The Greatest Common Factor of (6, 21) = 3

Therefore

LCM of 6 and 21 = (6 × 21) / 3

= 126/3 = 42

LCM of 6 and 21 = 42

Irrespective of the method, the solution to our question LCM of 6 and 21 is the same.