# What is The LCM of 12 and 28?

LCM of 12 and 28: The smallest number obtained which is divisible perfectly by both the given numbers 12 and 28 is their LCM

## Answer: LCM of 12 and 28 is 84

## Explanation:

Least Common Multiple: It is the smallest of the least number which the given numbers divide perfectly, that is leaving 0 as the remainder on division.

Different ways to obtain the LCM are given below:

### LCM of 12 and 28 through Listing Method

- The non-zero multiples(first few) of 12 and 28 are written.
- The common multiples are encircled.
- The samllest common is the one which is the LCM of the two given numbers.

### LCM of 12 and 28 through Formula

Formula to obtain LCM: LCM(a,b) = ( a × b) / GCF (a,b)

The Greatest Common Factor of (12, 28) = 4

Therefore

LCM of 12 and 28 = (12 × 28) / 4

= 336/4 = 84

LCM of 12 and 28 = 84

Both the above-mentioned methods yield the same answer.