What are the common multiples of 67 and 29?

Common multiples of 67 and 29 are numbers that both 67 and 29 can be divided into evenly with no remainder.

To find the common multiples of 67 and 29, we compare the list of multiples of 67 with the list of multiples of 29 to see what they have in common.

To create a list of multiples of 67, we multiply 67 by 1, 67 by 2, and so on like this:

67 x 1 = 67
67 x 2 = 134
67 x 3 = 201
67 x 4 = 268
...

Similarly, to create a list of multiples of 29, we multiply 29 by 1, 29 by 2, and so on like this:

29 x 1 = 29
29 x 2 = 58
29 x 3 = 87
29 x 4 = 116
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 67 and 29?"

1943, 3886, 5829, 7772, etc.

Since 1943 is the first number they have in common, 1943 is the least common multiple of 67 and 29.

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 1943 (the least common multiple), so you can continue the green list above with more common multiples of 67 and 29 by simply adding 1943 to the last number on the list.

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

What are the common multiples of 67 and 30?
Did you find our explanation and solution to "Common Multiples of 67 and 29" helpful? If so, try the next problem on our list here.