What are the common multiples of 65 and 83?

Common multiples of 65 and 83 are numbers that both 65 and 83 can be divided into evenly with no remainder.

To find the common multiples of 65 and 83, we compare the list of multiples of 65 with the list of multiples of 83 to see what they have in common.

To create a list of multiples of 65, we multiply 65 by 1, 65 by 2, and so on like this:

65 x 1 = 65
65 x 2 = 130
65 x 3 = 195
65 x 4 = 260
...

Similarly, to create a list of multiples of 83, we multiply 83 by 1, 83 by 2, and so on like this:

83 x 1 = 83
83 x 2 = 166
83 x 3 = 249
83 x 4 = 332
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 65 and 83?"

5395, 10790, 16185, 21580, etc.

Since 5395 is the first number they have in common, 5395 is the least common multiple of 65 and 83.

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 5395 (the least common multiple), so you can continue the green list above with more common multiples of 65 and 83 by simply adding 5395 to the last number on the list.

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

What are the common multiples of 65 and 84?
Did you find our explanation and solution to "Common Multiples of 65 and 83" helpful? If so, try the next problem on our list here.