What are the common multiples of 65 and 68?

Common multiples of 65 and 68 are numbers that both 65 and 68 can be divided into evenly with no remainder.

To find the common multiples of 65 and 68, we compare the list of multiples of 65 with the list of multiples of 68 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 68, we multiply 68 by 1, 68 by 2, and so on like this:

68 x 1 = 68
68 x 2 = 136
68 x 3 = 204
68 x 4 = 272
...

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 68?"

4420, 8840, 13260, 17680, etc.

Since 4420 is the first number they have in common, 4420 is the least common multiple of 65 and 68.

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 4420 (the least common multiple), so you can continue the green list above with more common multiples of 65 and 68 by simply adding 4420 to the last number on the list.

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What are the common multiples of 65 and 69?
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