# What is the LCM of 13 and 16?

LCM of 13 and 16 is the least number that is divisible by 13 and 16 with zero remainders.

## Answer: LCM of 13 and 16 is 208.

We will learn two methods to find LCM of 13 and 16.

## Explanation:

Least Common Multiple of 13 and 16 is the smallest number which is divisible by 13 and 16 exactly.

- LCM of 13 and 16 by Listing Common Multiples
- LCM of 13 and 16 by Common Division Method

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

The multiples of 13 and 16 are:

Multiples of 13 = 13, 26,...., 195, 208, ...

Multiples of 16 = 16, 32,..., 192, 208, ...

We can see, the lowest common multiple of 13 and 16 is 208.

### Method2: LCM of 13 and 16 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 13 and 16

LCM(13,16) = (13 × 16) / HCF (13,16)

LCM(13,16) = 208 / 1

LCM(13,16) = 208