# What is LCM of 7 and 18?

LCM of 7 and 18 is the least number which is exactly divisible by both 7 and 18

## Answer: LCM of 7 and 18 is 126

Let's explore the LCM of 7 and 18 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 7 and 18.

- LCM of 7 and 18 by Listing Method
- LCM of 7 and 18 by Common Division Method

### Method 1: Find LCM of 7 and 18 by Listing Method

In this method, we list the first few multiples of 7 and 18 and identify the common multiples.

The least among the common multiples is the LCM of 7 and 18

Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, ** 126**, 133, 140etc

Multiples of 18 are 18, 36, 54, 72, 90, 108, ** 126**, 144, 162 etc

Therefore, the least common multiple of 7 and 18 is 126.

### Method 2: Find LCM of 7 and 18 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.

Irrespective of the method, the solution to our question LCM of 7 and 18 is the same.