# What is the LCM of 3 and 17?

Least Common Multiple of 3 and 17 is the smallest number that will divide 3 and 17 exactly.

## Answer: LCM of 3 and 17 is 51

For 3 and 17, the smallest number which would be perfectly divisible by them is their LCM which is 51. We have used two methods to calculate the LCM of 3 and 17

## Explanation:

### LCM of 3 and 17 by Common Division Method

Here we will divide the numbers 3 and 17 simultaneously with prime numbers until we don't have a prime number to further divide both 3 and 17. The product of the prime numbers used in the division will give the LCM of 3 and 17.

### LCM of 3 and 17 by Formula

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

3 and 17 are prime numbers their GCF is 1 .

Therefore, LCM of 3 and 17 = (3 × 17) / 1 = 51

So, the LCM of 3 and 17 is 51

Irrespective of the method, the answer to LCM of 3 and 17 is same.