# Find the LCM of 17 and 34?

The least common multiple can be defined as the lowest positive integer that is a multiple of every number in a given set of numbers.

## Answer: The LCM of 17 and 34 is 34

LCM can be calculated using various methods.

## Explanation:

### Method 1: Prime factorization

Let's prime factorise the numbers 17 and 34 as shown below

Thus, LCM(17,34) = 34

### Method 2: Listing factors

We will be listing the first few multiples of 17 and 34 to find the smallest common factor as shown below

Multiples of 17: 17, 34

Multiples of 34: 34, 68

Common multiple = 34

Thus, LCM = 34