# What is the LCM of 12 and 42?

LCM of 12 and 42 is the least number which is exactly divisible by both 12 and 42.

## Answer: LCM of 12 and 42 is 84

There are many ways to find the LCM of 12 and 42 . Commonly used 2 methods are explained here.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 12 and 42.

## Methods to Find LCM of 12 and 42

We will find the LCM of 12 and 42 by

- Common Division
- Formula

### Method 1: LCM of 12 and 42 by Common Division Method

In this division method, we divide the 12 and 42 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 12 and 42.

LCM(48, 64) = 2 × 2 × 3 × 7 = 84

### Method 2: LCM of 12 and 42 by Formula

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

The Greatest Common Factor of (12, 42) = 6

Therefore, LCM of 12 and 42 = (12 × 42) / 6

= 504/6

= 84