# What is the LCM of 7 and 17?

The LCM (Least Common Multiple) of 7 and 17 is the lowest number which is exactly divisible by both the numbers 7 and 17.

## Answer: LCM of 7 and 17 is 119

The two methods that are used to find the LCM of 7 and 17 are given below.

**Explanation:**

The two methods that we are using to find LCM(7, 17) are.

- LCM of 7 and 17 by Listing the Common Factors
- LCM of 7 and 17 by Formula

### Method1: LCM of 7 and 17 by Listing Method

We will list out the first few multiples of 7 and 17 and determine the common multiples of 7 and 17.

The least among the common multiples is the LCM of 7 and 17. Here, 119 is the least common multiple of 7 and 17.

### Method2: LCM of 7 and 17 by Formula

We will use the formula of LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Use this formula to find the LCM of 7 and 17.

LCM (7, 17) = (7 × 17) / HCF (7, 17)

= (7 × 17) / 1

= 119

By using any of the above methods, the answer to LCM of 7 and 17 is the same.