# What is the LCM of 18 and 72?

LCM of 18 and 72 is the smallest number which is exactly divisible by 18 and 72.

## Answer: LCM of 18 and 72 is 72.

We will learn two methods to find LCM of 18 and 72.

## Explanation:

Least Common Multiple of 18 and 72 is the smallest number which is exactly divisible by 18 and 72

- LCM of 18 and 72 by Listing Common Multiples
- LCM of 18 and 72 by Common Division Method

### Method1: LCM of 18 and 72 by Listing Common Multiples

Look at the multiples of 18 and 72.

Multiples of 18 = 18, 36, 54, 72, 90, ...,

Multiples of 72 = 72, 144, 216, ...,

We can see, the lowest common multiple of 18 and 72 is 72.

So, LCM of 18 and 72 is 72.

### Method2: LCM of 18 and 72 by Formula

We will use the formula of LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Use this formula to find the LCM of 78 and 104.

LCM(18 , 72) = (18 × 72) / HCF (18,72)

LCM(18 , 72) = 1296 / 18

LCM(18 , 72) = 72

### Thus, LCM of 18 and 72 is 72.

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