# How to find the least common multiple of two numbers?

The least common multiple of two numbers is the smallest non-zero common number which is a multiple of both the numbers. we can find by using prime factorisation and common divison method and

## Answer: List the first few multiples of each number and look for multiples common to both lists and also look for the smallest number that is common to both lists.

Find least common multiple of two numbers

**Explanation:**

### Find LCM of 15 and 25 by Prime Factorisation Method.

LCM = smallest number that divides both

15 = 5 x 3

25 = 5 x 5

common of all factors = 5 x 5 x 3 = 75

LCM of 15 and 25 is 75.

### Find LCM of 15 and 25 by Common Division Method.

LCM of 15 and 25

LCM of 15 and 25 is 3 x 5 x 5 = 75.

### LCM of 15 and 25 by using formula

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

GCD(15,25) = 5

LCM of (15,25) = 15 x 25 / 5 = 75

LCM of 15 and 25 is 75.