# What is the LCM of 2, 5 and 10?

LCM of 2, 5 and 10 is the least number which is exactly divisible by 2, 5 and 10.

## Answer: LCM of 2, 5 and 10 is 10

We will explain two methods to find LCM of 2, 5 and 10.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 2, 5 and 10.

- LCM of 2, 5 and 10 by Common Division Method
- LCM of 2, 5 and 10 by Prime Factorization Method

### Method1: LCM of 2, 5 and 10 by Common Division Method

In this division method, we divide 2, 5 and 10 simultaneously with prime numbers and stop it when we don't have a prime number to divide 2, 5 and 10.

LCM(2, 5 , 10) = 2 × 5 = 10

### Method2: LCM of 2, 5 and 10 by Prime Factorization Method

Prime Factorization of 2 = 2

Prime Factorization of 5 = 5

Prime Factorization of 10 = 2 × 5

LCM is the product of all prime factors the greatest number of times they occur in either number.

So, LCM of 2, 5, 10 = 2 × 5 = 10