How do I find the #LCM# of #4 and 6#?

2 Answers

#12#
Find the prime factors of each number and multiply all of the unique factors.

Explanation:

# 4 = 2 xx 2 #

# 6 = 2 xx 3 #

There are two factors of 2 in 4, and one factor of 2 in six.
This means that there are 2 unique factors of 2.

There is one factor of 3 in 6 and no factors of 3 in 4 so the unique factors are 2,2,3.

The least common multiple is the product of all the unique factors.

LCM = # 2 xx 2 xx 3 = 12 #

Dec 19, 2017

See answer down below

Explanation:

The LCM is the least common multiple.
Multiples are the result of multiplying a number by an integer.
You find the LCM by listing out the multiples and finding out which number they both have.
The multiples of 4 are 4, 8, 12, 16, 20.
The multiples of 6 are 6, 12.
We stop at 12 because 12 is the first number 4 and 6 both have.