# What is the LCM of 25 and 45?

LCM of 25 and 45 is the least number which is divisible by both 25 and 45 exactly without a remainder.

## Answer: LCM of 25 and 45 is 225

Let's find the LCM of 25 and 45

## Explanation:

Least Common Multiple is the smallest number that will divide 25 and 45 exactly.

For 25 and 45, the smallest number which would be perfectly divisible by them is their LCM which is 225. Look at the two methods explained below to find the LCM of 25 and 45

- Using Common Division Method
- Using Formula

## Methods to Find LCM of 25 and 45

### LCM of 25 and 45 by Common Division Method

Here we will divide the numbers 25 and 45 simultaneously with prime numbers until we don't have a prime number to further divide both 25 and 45

### LCM of 25 and 45 by Formula

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

The Greatest Common Factor of (25, 45) = 5

Therefore,

LCM of 25 and 45 = (25 × 45) / 5

= 1125/5 = 225

LCM of 25 and 45 = 225