Question

What is the least common multiple of 6 and 9?

Answer 1

`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`.

Answer 2

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!