**Least Common Multiple (LCM)**

__Definition of Least Common Multiple__

- Least common multiple is the smallest nonzero number that is a common multiple of two or more numbers considered.

__Examples of Least Common Multiple__

- The LCM of 6, 9, 15 is 90.

**6:** 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, . . .

**9:** 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, .

**15:** 15, 30, 45, 60, 75, 90, . . .

__More about Least Common Multiple__

- Finding LCM comes handy while adding, subtracting, or comparing two or more fractions with unlike denominators.
- Least Common Denominator: Least common denominator is the least common multiple of the denominators of the fractions with unlike denominators.

__Solved Example on Least Common Multiple__

Find the least common multiple of 13 and 11.

**Choices:**

A. 13

B. 24

C. 143

D. 11

**Correct Answer: C**

** Solution:**

**Step 1:** As 13 and 11 are coprimes, the least common multiple is nothing but their product.

**Step 2:** So, least common multiple of 13 and 11 is 143.

__Related Terms for Least Common Multiple__