What are the common multiples of 12 and 31?

Common multiples of 12 and 31 are numbers that both 12 and 31 can be divided into evenly with no remainder.

To find the common multiples of 12 and 31, we compare the list of multiples of 12 with the list of multiples of 31 to see what they have in common.

To create a list of multiples of 12, we multiply 12 by 1, 12 by 2, and so on like this:

12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
...

Similarly, to create a list of multiples of 31, we multiply 31 by 1, 31 by 2, and so on like this:

31 x 1 = 31
31 x 2 = 62
31 x 3 = 93
31 x 4 = 124
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 12 and 31?"

372, 744, 1116, 1488, etc.

Since 372 is the first number they have in common, 372 is the least common multiple of 12 and 31.

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 372 (the least common multiple), so you can continue the green list above with more common multiples of 12 and 31 by simply adding 372 to the last number on the list.

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

What are the common multiples of 12 and 32?
Did you find our explanation and solution to "Common Multiples of 12 and 31" helpful? If so, try the next problem on our list here.