# What is the LCM of 13 and 26

LCM of 13 and 26 is the smallest number which divides both 13 and 26 exactly without a remainder.

## Answer: LCM of 13 and 26 is 26

The two methods that are used to find the LCM of 13 and 26 are given below.

## Explanation:

For 13 and 26, the smallest number which would be perfectly divisible by them is their LCM which is 26. We will use the following two methods to find the least common multiple of 13 and 26

- LCM of 13 and 26 by Listing Method
- LCM of 13 and 26 by Common Division Method

Least Common Multiple of 13 and 26 is the smallest number which will divide 13 and 26 exactly.

### Method1: LCM of 13 and 26 by Listing Method

List the first few multiples of 13 and 26 and find the common multiples.

Multiples of 13: 13, 26, 39 and **52**

Multiples of 26: 26, **52** and 78

The smallest among the common multiples is the LCM of 13 and 26, which in the above case we can see is 26

### Method2: LCM of 13 and 26 by Common Division Method

Here we will divide the numbers 13 and 26 simultaneously with prime numbers until we don't have a prime number to further divide both 13 and 26

So, the LCM (13, 26) is 26