# What is the LCM of 6 and 12?

Lowest common multiple or the LCM of 6 and 12 is the least number which is exactly divisible by both 6 and 12.

## Answer: LCM of 6 and 12 is 12

Lets see how to find the LCM of 6 and 12

## Explanation:

Least Common Multiple (LCM) of a and b is the smallest number that divides a and b exactly.

The commonly used methods to find the LCM of 6 and 12 are listed below.

## Methods to Find LCM of 6 and 12

Let us use the following methods to find the LCM of 6 and 12

- Listing the Multiples
- Formula

### LCM of 6 and 12 by Listing Method

List the first few multiples of 6 and 12 and identify the common multiples.

The least among the common multiples is the LCM of 6 and 12

So, by this method, LCM of 6 and 12 is 12

### LCM of 6 and 12 by Formula

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

The Greatest Common Factor (GCF) of (6,12) = 6

Therefore

LCM of 6 and 12 = (6 × 12) / 6

= 72/6

= 12

LCM of 6 and 12 = 12

By both the methods, the solution to our question LCM of 6 and 12 is the same.