# What is The LCM of 45 and 60?

LCM of 45 and 60 would be the smallest possible number which is exactly divisible by both 45 and 60

## Answer: LCM of 45 and 60 is 180

## Explanation:

Least Common Multiple .would be the smallest number which the given numbers divides exactly

Commonly used methods to find LCM are listed below.

### LCM of 45 and 60 by Common Division Method

- The division of given numbers is done simultaneously by prime numbers.
- Division is continued until no more prime numbers are left to take the division further.

### LCM of 45 and 60 by Formula

Formula of LCM: ( a × b)=LCM(a,b) × GCF(a,b)

The Greatest Common Factor of (45, 60) = 15

Therefore

LCM of 45 and 60 = (45 × 60) / 15

= 2700/15 = 180

LCM of 45 and 60 = 180

Irrespective of the method, the solution to our question LCM of 45 and 60 is the same.

### Thus, LCM of 45 and 60 is 180

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