# What is the LCM of 25 and 36?

The LCM (Least Common Multiple) of 25 and 36 is the least number which is exactly divisible by both the numbers 25 and 36.

## Answer: LCM of 25 and 36 is 900

The two methods that are used to find the LCM of 25 and 36 are given below.

## Explanation:

The two methods that we are using to find LCM(25, 36) are.

- LCM of 25 and 36 by the Common Division Method
- LCM of 25 and 36 by Formula

### Method 1: LCM of 25 and 36 by Common Division Method

In this division method, we divide the numbers 25 and 36 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 25 and 36.

### Method 2: LCM of 25 and 36 by Formula

We will use the formula of LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Use this formula to find the LCM of 25 and 36.

LCM (25, 36) = (25 × 36) / HCF (25, 36)

= (25 × 36) / 1

= 25 × 36

= 900

By using any of the above methods, the answer to LCM of 25 and 36 is the same.