# How to find the LCM of 50 and 75?

LCM of 50 and 75 is the smallest number which divides both 50 and 75 exactly without a remainder.

## Answer: LCM of 50 and 75 is 150

The two methods that are used to find the LCM of 50 and 75 are given below.

## Explanation:

For 50 and 75, the smallest possible number which would be perfectly divisible by them is their LCM which is 150. We will use the following two methods to find the LCM of 50 and 75:

- LCM of 50 and 75 by using Common Division Method
- LCM of 50 and 75 by using Formula

Least Common Multiple of 50 and 75 is the smallest number which will divide 50 and 75 exactly.

### Method1: LCM of 50 and 75 by Common Division Method

Here we will divide the numbers 50 and 75 simultaneously with prime numbers until we don't have a prime number to further divide both 50 and 75

### Methode2: LCM of 50 and 75 by Formula

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

The Greatest Common Factor of (50,75) = 25

Therefore, LCM of 50 and 75 = (50 × 75) / 25 = 3750 / 25 = 150

So, LCM of 50 and 75 = 150