# What is the LCM of 20 and 26?

__LCM __(__Least Common Multiple)__ of two numbers is the smallest number which is exactly divisible by the two numbers without leaving any remainder.

## Answer: LCM of 20 and 26 is 260

LCM of 20 and 26 is the least number which is exactly divisible by both 20 and 26.

## Explanation:

We can find the LCM (20, 26) by the following methods:

- Listing the common factors method
- Common division method

### Method 1: LCM of 20 and 26 by Listing Method

In this method, we will list the first few multiples of 20 and 26

After that, we will identify the common multiples of 20 and 26

The least among the common multiples is the LCM of 20 and 26.

So, LCM (20, 26) = 260

### Method 2: LCM of 20 and 26 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (20, 26) is 2. So, GCF (20, 26) = 2

So, the LCM of 20 and 26 by using the formula,

LCM (20, 26) = (20 × 26) / 2

= 520 × 2

= 260

So, LCM of 20 and 26 is 260.

Irrespective of the method, the solution to our question LCM of 20 and 26 is the same.