# Calculate the LCM of 3 and 18

The least common multiple can be defined as the lowest positive integer that is a multiple of every number in a given set of numbers.

## Answer: LCM of 3 and 18 is 18

Lets see how to find the LCM of 3 and 18

## Explanation:

We will be using two different ways to calculate the LCM of 3 and 18

a) Listing common multiples

b) Formula method

### Listing common multiples:

We will be listing down the first few multiples of 3 and 18 followed by checking the smallest multiple common to 3 and 18

Multiples of 3: 3, 6, 9, 12, 15, 18

Multiples of 18: 18, 36

Thus, LCM of 3 and 18 is 18

### LCM using formula:

LCM (a, b) = (a × b) / GCF (a, b)

The Greatest Common Factor of (3,18) = 3

Therefore by substituting we get,

LCM of 3 and 18 = (3 × 18) / 3

= 18

LCM of 3 and 18 = 18