# What is the LCM of 50 and 60?

LCM of 50 and 60 is the least number which is exactly divisible by both 50 and 60.

## Answer: LCM of 50 and 60 is 300

We will see2 different explanations to find the LCM of 50 and 60.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 50 and 60. we will see common division method and listing the multiples method to find the LCM>

### Method 1: LCM of 50 and 60 by Common Division Method

In this division method, we divide the 50 and 60 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 50 and 60

LCM(50, 60) = 2 × 2 × 3 × 5 × 5 = 300

### Method 2: LCM of 50 and 60 by Listing Method

Let us list the first few multiples of 50 and 60.

Multiples of 50 = 50, 100, 150, 200, 250, **300**, 350, 400,..

Multiples of 60 = 60, 120, 180, 240, **300**, 360, 420,..

We see that 300 is the first number which is a common multiple of 50 and 60.