# What is LCM of 2 and 13?

LCM of 2 and 13 is the least number which is exactly divisible by both 2 and 13

## Answer: LCM of 2 and 13 is 26

Let's explore more about the LCM of prime numbers like 2 and 13.

## Explanation:

The least common multiple is the smallest number which is exactly divisible by both the given numbers.

We will use the following two methods to find the LCM of 2 and 13.

- LCM of 2 and 13 by Listing Method
- LCM of 2 and 13 by Common Division Method

### Method 1: LCM of 2 and 13 by Listing Method

In this method, we list the first few multiples of 2 and 13 and identify the common multiples.

The least among the common multiples is the LCM of 2 and 13

Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ** 26**, 28, 30 etc

Multiples of 13 are 13, ** 26**, 39, 52 etc

Therefore, the least common multiple of 2 and 13 is 26.

### Method 2: LCM of 2 and 13 by Common Division Method

In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers. Here the given numbers are themselves prime numbers. So they do not have any other factor. Hence the LCM (2,13) is nothing but the product of the numbers.

Irrespective of the method, the solution to our question LCM of 2 and 13 is the same as 26.