# What is the LCM of 6 and 7?

To find the LCM of 6 and 7, we need the least number which is exactly divisible by both 6 and 7.

## Answer: LCM of 6 and 7 is 42

Lets see how to find the LCM of 6 and 7

## Explanation:

The Least Common Multiple (LCM) of two numbers a and b is the smallest number that divides a and b exactly.

We can find the LCM of the numbers in many ways.

## Methods to Find LCM of 6 and 7

Let us use the following methods to find the LCM of 6 and 7

- Listing the Multiples
- Formula

### LCM of 6 and 7 by Listing Method

We will list the first few multiples of 6 and 7 and determine the common multiples.

The least among the common multiples is the LCM of 6 and 7

### LCM of 6 and 7 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (6,7) is 1. So, GCF (6,7) = 1

So, the LCM of 6 and 7 by using the formula,

LCM (6, 7) = (6 × 7) / 1 = 42/1 = 42

LCM of 6 and 7 = 42

Observe that the solution to our question LCM of 6 and 7 is the same in both the methods.