# What is The LCM of 15 and 27?

The least number which is exactly divisible by both 15 and 27, is called the least common multiple of 15 and 27, denoted by LCM(15,27).

## Answer: The Least Common Multiple of 15 and 27 is 135

## Explanation:

The smallest possible number which the given numbers divide exactly is the least common multiple of the given numbers.

The most common ways are listed below.

### Find LCM(15, 27) by Listing Method

We list the first few multiples of 15 and 27 and identify the common multiples. The least among the common multiples is the LCM(15, 27)

### LCM of 15 and 27 by Formula

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

The Greatest Common Factor of (15,27) = 3

Therefore

LCM of 15 and 27 = (15 \(\times\) 27) / 3

= 405/3 = 135

LCM of 15 and 27 = 135

LCM of 15 and 27, denoted by LCM(15, 27) remains the same, whichever method we opt for finding it.