# How do you find the least common multiple of 9, 6, and 2?

Jan 15, 2017

Factor each number to its prime factors multiply all the prime factors together, use each prime number only once.

#### Explanation:

9 can be factored into $3 \times 3$ so nine has two factors of 3

6 can be factored into $3 \times 2$ so nine has one factor of 3 and one factor of 2.

( since nine already has two factors of 3 the factor of three from six does not need to be used)

2 can be factored into $2 \times 1$ so 2 has one factor o2

( since six already has a factor of 2 the second factor of is not needed)

So multiplying the unique factors gives

$3 \times 3 \times 2 = 18$

The least common multiple is 18