Question

Find the LCM of 9 and 6.

Answer 1

`18`

Step-by-step explanation

We want to find the LCM of 9 and 6.

First, we have to write the numbers as products of their prime factors.

We have:

`\begin{gathered} 6\Rightarrow2\cdot3 \\ 9\Rightarrow3\cdot3 \end{gathered}`

Now, write the product of all the prime factors of both numbers without repeating the common numbers. That is:

`2\cdot3\cdot3`

Notice that only two 3s are written since one set of 3s appears in both 6 and 9.

Hence, the LCM of 6 and 9 is:

`\begin{gathered} 2\cdot3\cdot3 \\ \Rightarrow18 \end{gathered}`