ANSWER:

We see that the numbers 18 and 36 are both common multiples of 6 and 9.

Step-by-step explanation:

The Least Common MULTIPLE

A multiple of a number is a whole number times that number.  For example, some multiples of 6 are  

       6, 12, 18, 24, 30, and 36

If TWO numbers are given then a common multiple of the two numbers is a number that is a multiple of both.  Of all the common multiples of two numbers, there is a smallest ONE which we call the least common multiple.  

Example

Find the least common multiple of 6 and 9.  

Solution

One way of solving this problem is to write out multiples of each and see what is common to the list:

       6, 12, 18, 24, 30, 36, ...        multiples of 6

       9, 18, 27, 36, 45, ...        multiples of 9

We see that the numbers 18 and 36 are both common multiples of 6 and 9.  The least common multiple is the smallest which is 18.

Example

Find the least common multiple of 8 and 32.

Solution

Instead of listing many multiples of each, we just notice that 32 is a multiple of 8 and hence 32 is a common multiple.  It is the first multiple of 32.  We can conclude that 32 is the least common multiple of 8 and 32.  

In general, the least common multiple of two numbers with one the multiple of the other is just the larger number.