# What is the LCM of 8 and 12?

LCM(8,12) is the least number which is exactly divisible by both 8 and 12.

## Answer: LCM of 8 and 12 is 24

Lets see how to find the LCM of 8 and 12

## Explanation:

Least Common Multiple is the least number which is exactly divisible by the given numbers.

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

## Methods to Find LCM of 8 and 12

Let us use the following methods to find the LCM of 8 and 12

- Listing the Multiples
- Formula

### LCM of 8 and 12 by Listing Method

In this method, the first few multiples of 8 and 12 are listed and the common multiples are identified.

The least among the common multiples is the LCM of 8 and 12

### LCM of 8 and 12 by Formula

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

The Greatest Common Factor of (8,12) = 4

Therefore

LCM(8,12) = (8 × 12) / 4

= 96/4 = 24

LCM(8,12) = 24

Irrespective of the method, the solution to our question LCM of 8 and 12 is the same.