# What is LCM of 12 and 17?

The LCM of 12 and 17 is the least number that is exactly divisible by both 12 and 17. There are 2 methods to find the LCM of 12 and 17 i.e. by prime factorization and using GCF of 12 and 17.

## Answer: LCM of 12 and 17 is 204

** Explanation: **

The Least Common Multiple (LCM) is the smallest number which is exactly divisible by the given numbers. We can compute the LCM of 12 and 17 in many ways, the most commonly used methods are listed below.

## Methods to Find LCM of 12 and 17

The methods to compute the LCM of 12 and 17 are explained below.

- By using the GCF
- By Common Division Method

### Method 1: LCM of 12 and 17 using GCF

The LCM formula is LCM(X, Y) = (X × Y) / GCF(X, Y)

- 12 × 17 = 204
- GCF(12, 17) = 1

Therefore, the LCM of 12 and 17 = LCM(12, 17) = (12 × 17)/GCF(12, 17) = 204/1 = 204

### Method 2: LCM of 12 and 17 by Common Division Method

In this method, we divide 12 and 17 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 12 and 17.

### Therefore, the LCM of 12 and 17 is 204.

**☛ Also Check:**

- LCM of 6, 12 - LCM(6, 12) = 12
- LCM of 18, 27 - LCM(18, 27) = 54
- LCM of 12, 18 - LCM(12, 18) = 36
- LCM of 8, 9 - LCM(8, 9) = 72
- LCM of 9, 12 - LCM(9, 12) = 36
- LCM of 5, 8 - LCM(5, 8) = 40
- LCM of 6, 8, 10 - LCM(6, 8, 10) = 120