# What is the LCM of 19 and 38?

The LCM (Least Common Multiple) of 19 and 38 is the least number which is exactly divisible by both the numbers 19 and 38.

## Answer: LCM of 19 and 38 is 38

The two methods that are used to find the LCM of 19 and 38 are given below.

## Explanation:

The two methods that we are using to find LCM(19, 38) are:

- LCM of 19 and 38 by the Common Division Method
- LCM of 19 and 38 by Formula

### Method 1: LCM of 19 and 38 by Listing Multiples Method

We will list the first few multiples of 19 and 38 and determine the common multiples.

The least among the common multiples is the LCM of 19 and 38

- Multiples of 19: 19,
, 57__38__ - Multiples of 38:
, 76__38__

Here, the least common multiple of 19 and 38 is 38. So, LCM (19, 38) = 38

### Method 2: LCM of 19 and 38 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 19 and 38.

LCM (19, 38) = (19 × 38) / HCF (19, 38)

= (19 × 38) / 19

= 38

By using any of the above methods, the answer to LCM of 19 and 38 is the same.