# What is the LCM of 21 and 35?

LCM of 21 and 35 is the smallest number which is exactly divisible by both 21 and 35

## Answer: LCM of 21 and 35 is 105

Lets see how to find the LCM of 21 and 35

## Explanation:

Least Common Multiple is the smallest number in which the given number divides exactly.

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

## Methods to Find the LCM of 21 and 35

Two methods to find the LCM of 21 and 35 are listed below.

### Common Division Method to Find LCM of 21 and 35

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

### Formula to Find LCM of 21 and 35

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

The Greatest Common Factor of (21, 35) = 7

Therefore,

LCM (21,35) = (21 × 35) / GCF (21, 35)

= (21 × 35) / 7

= 735 / 7 = 105

So, LCM of 21 and 35 is 105

Using any of the methods, the solution to our question LCM of 21 and 35 is the same.