What are the common multiples of 74 and 31?

Common multiples of 74 and 31 are numbers that both 74 and 31 can be divided into evenly with no remainder.

To find the common multiples of 74 and 31, we compare the list of multiples of 74 with the list of multiples of 31 to see what they have in common.

To create a list of multiples of 74, we multiply 74 by 1, 74 by 2, and so on like this:

74 x 1 = 74
74 x 2 = 148
74 x 3 = 222
74 x 4 = 296
...

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 74 and 31?"

2294, 4588, 6882, 9176, etc.

Since 2294 is the first number they have in common, 2294 is the least common multiple of 74 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 2294 (the least common multiple), so you can continue the green list above with more common multiples of 74 and 31 by simply adding 2294 to the last number on the list.

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

What are the common multiples of 74 and 32?
Did you find our explanation and solution to "Common Multiples of 74 and 31" helpful? If so, try the next problem on our list here.