# What is the LCM of 15 and 90?

LCM of 15 and 90 is the smallest number that is divisible by 15 and 90 with no remainders left.

## Answer: LCM of 15 and 90 is 90.

We will understand two methods to find LCM of 15 and 90

## Explanation:

Least Common Multiple of 15 and 90 is the least number which is exactly divisible by 15 and 90 leaving the remainder zero.

- LCM of 15 and 90 by Formula
- LCM of 15 and 90 by Listing Common Multiples

### Method1: LCM of 15 and 90 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 60 and 700

LCM(15, 90) = (15 × 90) / HCF (15,90)

LCM(15, 90) = 1350/15

LCM(15, 90) = 90

Therefore, LCM of 15 and 90 is 90

### Method2: LCM of 15 and 90 by Listing Common Multiples

The list of multiples of 15 and 90 is shown below.

Multiples of 15 = 15, 30, 45, 60, 75, 90, ...

Multiples of 30 = 30, 60, 90, ...

We can see, the lowest common multiple of 15 and 90 is 90.