# What is The LCM of 18 and 45?

LCM of 18 and 45 would be the least number which is exactly divisible by both 18 and 45

## Answer: LCM of 18 and 45 is 90

## Explanation:

Least Common Multiple: It is the smallest number which perfectly or exactly divisible by the given numbers.

### Listing Method to get LCM of 18 and 45

- List down the first few multiples of 18 and 45
- Identify the common multiples of the two.
- The least, that is the smallest, among the common multiples, is the LCM of 18 and 45

### Formula to get LCM of 18 and 45

The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)

(GCF) of (18, 45) = 9

Hence,

LCM of 18 and 45 = (18 × 45) / 9

= 810/9 = 90

LCM of 18 and 45 = 90