# What is the LCM of 14 and 21?

The least common multiple of 14 and 21 is the least number which is exactly divisible by both 14 and 21.

## Answer: LCM of 14 and 21 is 42

Lets see how to find the LCM of 14 and 21

## Explanation:

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

Look at the commonly used methods to find the LCM of 14 and 21.

## Methods to Find LCM of 14 and 21

Let us use the following methods to find the LCM of 14 and 21

- Listing the Multiples
- Formula

### LCM of 14 and 21 by Listing Method

In this method, we list the first few multiples of 14 and 21 and identify the common multiples.

LCM of 14 and 21 is the least among the common multiples of 14 and 21

### LCM of 14 and 21 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The GCF of (14,21) = 7

Therefore

LCM (14, 21) = (14 × 21) / 7 = 294/7 = 42

So, the least common multiple of 14 and 21 is 42