# Question: What is the LCM of 60 and 80?

LCM of 60 and 80 is the smallest number exactly divisible by all of them.

## Answer: LCM of 60 and 80 is 192

Let us see how to find the LCM of 60 and 80

## Explanation:

We can find the LCM by the following two methods:

- by Division Method
- by Formula

Least Common Multiple of 60 and 80 would be the smallest number which can exactly divide by both 60 and 80 without any remainder.

Listed below are two methods to find the LCM of 60 and 80

## Methods to find LCM of 60 and 80

### Method 1: LCM of 60 and 80 by Division Method:

In this division method, we divide 60 and 80 simultaneously with prime numbers and stop it only when we don't have any more prime numbers to divide them further.

So, the least common multiple of 60 and 80 is given by 2 × 2 × 2 × 2 × 3 × 5 = 240. This means LCM(60, 80) = 240

### Method 2: LCM of 60 and 80 by Formula

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

The Greatest Common Factor of (60,80) = 5

Therefore, LCM of 60 and 80 = (60 × 80) / 20

= 4800/20 = 240

LCM of 60 and 80 = 240