# What is LCM of 11 and 6?

LCM of 11 and 6 is the least number which is exactly divisible by both 11 and 6

## Answer: LCM of 11 and 6 is 66

Let us explore more about LCM.

## Explanation:

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

We will use the following two methods to find the LCM of 11 and 6.

- LCM of 11 and 6 by Listing Method
- LCM of 11 and 6 by the Common Division Method

### Method 1: LCM of 11 and 6 by Listing Method

In this method,

- We list the first few multiples of 11 and 6 and identify the common multiples.
- The least among the common multiples is the LCM of 11 and 6

Multiples of 11 are 11, 22, 33, 44, 55, ** 66**, 77, 88 etc

Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ** 66**, 72, 78 etc

Therefore, the least common multiple of 11 and 6 is 66.

### Method 2: LCM of 11 and 6 by Common Division Method

In this division method,

- We divide the numbers simultaneously with prime numbers and
- Conclude the process when we don't have a prime number to divide the given numbers.

Irrespective of the method, the LCM of 11 and 6 is the same.