# What is LCM of 125 and 75?

LCM of 125 and 75 is the least number which is exactly divisible by both 125 and 75

## Answer: LCM of 125 and 75 is 375

Let us understand the least common multiple of 125 and 75 in detail.

## Explanation:

The least common multiple is the smallest number which is exactly divisible by both the given numbers.

We will use the following two methods to find the LCM of 125 and 75.

- LCM of 125 and 75 by Listing Method
- LCM of 125 and 75 by Common Division Method

### Method 1: How To Find LCM of 125 and 75 by Listing Method

In this method, we list the first few multiples of 125 and 75 and identify the common multiples.

The least among the common multiples is the LCM of 125 and 75

Multiples of 125 are 125, 250, ** 375,** 500, 625 etc

Multiples of 75 are 75, 150, 225, 300, ** 375,** 450, 525 etc

Therefore, the least common multiple of 125 and 75 is 375.

### Method 2: How To Find LCM of 125 and 75 by Common Division Method

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

Irrespective of the method, the LCM of 125 and 75 remains the same.