# What is LCM of 10 and 40?

LCM of 10 and 40 is the least number which is exactly divisible by both 10 and 40

## Answer: LCM of 10 and 40 is 40

Let's explore the LCM of any two numbers in detail.

## 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 10 and 40.

- LCM of 10 and 40 by Listing Method
- LCM of 10 and 40 by the Common Division Method

### Method 1: LCM of 10 and 40 by Listing Method

In this method, we list the first few multiples of 10 and 40 and identify the common multiples.

The least among the common multiples is the LCM of 10 and 40

Multiples of 10 are 10, 20, 30, 40, 50, 60, 70, etc

Multiples of 40 are 40, 80, 120, 160, 200, etc

Therefore, the least common multiple of 10 and 40 is 40.

### Method 2: LCM of 10 and 40 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.

The LCM of 10 and 40 is the same as 40 and is independent of the method.