# What is the least common multiple of 8 and 14?

##### 2 Answers

See explanation...

#### Explanation:

Alright, first we need to look at the what an LCM is. A least common multiple (LCM) is the lowest multiple that two or more numbers share.

For example, the numbers

Multiples of **8**, 10, 12, 14,...

Multiples of **8**, 16, 24, 32, 40, 48, 56,...

So lets look at the LCM of

Since

Hope this helps!

~Chandler Dowd

56

#### Explanation:

To find the least common multiple find the prime factorization of each number and multiply the unique non repeated factors.

The 1 factor of 2 in 14 is a repeat of the 3 factors of 2 in 8. It is not

necessary to use that fourth factor of 2. three factors of 2 is enough

The 1 factor of 7 is a unique factor. The factor of 7 is necessary so

The LCM =

The least Common Multiple of 8 and 14 is 56