# What is the LCM of 24 and 42?

LCM of 24 and 42 is the least number which is divisible by both 24 and 42 exactly without a remainder.

## Answer: LCM of 24 and 42 is 168

Let's find the LCM of 24 and 42

## Explanation:

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

We can find the LCM of the numbers in many ways.

## Methods to Find LCM of 24 and 42

For 24 and 42, the smallest number which would be perfectly divisible by them is their LCM which is 168. Let us see how to calculate it below.

Least Common Multiple is the smallest number that will divide 48 and 56 exactly.

### LCM of 24 and 42 by Common Division Method

Here we will divide the numbers 24 and 42 simultaneously with prime numbers until we don't have a prime number to further divide both 24 and 42

### LCM of 24 and 42 by Formula

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

The GCF of (24, 42) = 6

Therefore, LCM of 24 and 42 = (24 × 42) / 8 = 1008/6 = 168

So, LCM of 24 and 42 = 168