# What is the LCM of 25 and 60?

Least Common Multiple of 25 and 60 is the smallest number that will divide 25 and 60 exactly.

## Answer: LCM of 25 and 60 is 300

The two methods that are used to find the LCM of 25 and 60 are given below.

## Explanation:

For 25 and 60, the smallest number which will be perfectly divisible by them is their LCM which is 300. There are two methods used below to find the LCM(25, 60)

- LCM of 25 and 60 by Listing Method
- LCM of 25 and 60 by Common Division Method

### Method1: LCM of 25 and 60 by Listing Method

List the first few multiples of 25 and 60 and find the common multiples.

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, **300**, 325, 350

Multiples of 60: 60, 120, 180, 240, **300**, 360, 420

The smallest among the common multiples is the LCM of 25 and 60, which in the above case we can see is 300

### Method2: LCM of 25 and 60 by Common Division Method

Here we will divide the numbers 25 and 60 simultaneously with prime numbers until we don't have a prime number to further divide both 25 and 60

So, the least common multiple of 25 and 60 is 300