# What is the LCM of 12 and 21?

LCM of 12 and 21 is the least number which is exactly divisible by both 12 and 21

## Answer: LCM of 12 and 21 is 84

Explanation:

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.

### LCM of 12 and 21 by Common Division Method

Here, we will be dividing 12 and 21 by their common factors

Thus, LCM(12,21) is 84

### LCM of 12 and 21 by Formula

The formula of LCM is

LCM (x, y) = (x × y) / GCF (x, y)

The Greatest Common Factor of (12, 21) = 3

Thus,

LCM of 12 and 21 = (12 × 21) / 3

= 252/3 = 84

Hence,LCM(12,21) = 84

### Thus: LCM of 12 and 21 is 84

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