# What is the LCM of 3 and 12?

The least common multiple of 3 and 12 is the least number which is exactly divisible by both 3 and 12.

## Answer: LCM of 3 and 12 is 12

Lets see how to find the LCM of 3 and 12

## Explanation:

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

We can find the LCM of the numbers in many ways, the commonly used methods are listed below.

## Methods to Find LCM of 3 and 12

Let us use the following methods to find the LCM of 3 and 12

- Listing the Multiples
- Formula

### LCM of 3 and 12 by Listing Method

In this method, we list the first few multiples of 3 and 12 and identify the common multiples.

LCM of 3 and 12 is the least among the common multiples of 3 and 12

### LCM of 3 and 12 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The GCF of (3, 12) = 3

Therefore

LCM (14, 21) = (3 × 12) / 3

= 36/3 = 12

So, the least common multiple of 3 and 12 is 12

### Therefore, LCM of 3 and 12 is 12

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