What is the least common multiple of 6 and 9?

2 Answers
Apr 5, 2016

18.

Explanation:

Go up in multiples of either 6 or 9. so for 6, there is:

6, 12, color(blue)(18), 24...

for 9, there is:

9, color(blue)(18), 27, 36...

and find the earliest or lowest number that occurs in both, which is 18.

Jul 26, 2017

The least common multiple (LCM) of 6 and 9 is 18 and the explanation is down below!

Explanation:

I always take the first 5 multiples of each number and write them down. And if we don't our LCM in there, then I write down the next five multiples! So let's start, shall we?

(First 5) Multiples of 6:
6, 12, 18, 24, 30

(First 5) Multiples of 9:
9, 18, 27, 36, 45

Now, we have to see if there is any common number in the numbers. If we do, we have to make sure that there isn't any other number lower than that that 6 and 9 go into!

(First 5) Multiples of 6:
6, 12,color(blue)(18), 24, 30

(First 5) Multiples of 9:
9, color(blue)(18), 27, 36, 45

There isn't any number before 18 that 6 and 9 both go into, so 18 is the LCM of 6 and 9! Now we don't need to write down anymore multiples. :)

Source: My knowledge!

I hope that helps you!