# What is the LCM of 24 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 24 and 26 is 312

LCM of 24 and 26 is the least number which is exactly divisible by both 24 and 26.

## Explanation:

We can find the LCM (24, 26) by the following methods:

- Listing the common factors method
- Common division method

### Method 1: LCM of 24 and 26 by Listing Method

In this method, we will list the first few multiples of 24 and 26

After that, we will identify the common multiples of 24 and 26

The least among the common multiples is the LCM of 24 and 26.

- Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288,
**312**, 336, 360, ... - Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286,
**312**, 338, 364, ...

Here, 312 is the smallest common multiple of 24 and 26.

So, LCM (24, 26) = 312

### Method 2: LCM of 24 and 26 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.

LCM of 24 and 26 is** **2 × 2 × 2 × 3 × 13 = 312.

Irrespective of the method, the solution to our question LCM of 24 and 26 is the same.