# What is the LCM of 15 and 17?

LCM of 15 and 17 is the product of 15 and 17 that is divisible by 15 and 17.

## Answer: LCM of 15 and 17 is 255.

We will learn two methods to find LCM of 15 and 17.

## Explanation:

Least Common Multiple of 15 and 17 is the smallest natural number which is divisible by 15 and 17 exactly.

- LCM of 15 and 17 by Listing Common Multiples
- LCM of 15 and 17 by Common Division Method

### Method1: LCM of 13 and 16 by Listing Common Multiples

Let's see a few multiples of 15 and 17.

Multiples of 15 = 15, 30,...., 240, 255...

Multiples of 17 = 17, 34,....., 238, 255..

We can see, the lowest common multiple of 15 and 17 is 255.

Hence, the LCM of 15 and 17 is 255.

### Method2: LCM of 15 and 17 by Formula

We can 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 15 and 17

LCM (15,17) = (15 × 17) / HCF (15,17)

LCM (15,17) = 255 / 1

LCM (15,17) = 255