What are the common multiples of 9 and 84?

Common multiples of 9 and 84 are numbers that both 9 and 84 can be divided into evenly with no remainder.

To find the common multiples of 9 and 84, we compare the list of multiples of 9 with the list of multiples of 84 to see what they have in common.

To create a list of multiples of 9, we multiply 9 by 1, 9 by 2, and so on like this:

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
...

Similarly, to create a list of multiples of 84, we multiply 84 by 1, 84 by 2, and so on like this:

84 x 1 = 84
84 x 2 = 168
84 x 3 = 252
84 x 4 = 336
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 9 and 84?"

252, 504, 756, 1008, etc.

Since 252 is the first number they have in common, 252 is the least common multiple of 9 and 84.

Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 252 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 84 by simply adding 252 to the last number on the list.

Common Multiples Calculator
Need another answer? Get common multiples here:

What are the common multiples of 9 and 85?
Did you find our explanation and solution to "Common Multiples of 9 and 84" helpful? If so, try the next problem on our list here.