What are the common multiples of 89 and 68?

Common multiples of 89 and 68 are numbers that both 89 and 68 can be divided into evenly with no remainder.

To find the common multiples of 89 and 68, we compare the list of multiples of 89 with the list of multiples of 68 to see what they have in common.

To create a list of multiples of 89, we multiply 89 by 1, 89 by 2, and so on like this:

89 x 1 = 89
89 x 2 = 178
89 x 3 = 267
89 x 4 = 356
...

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 89 and 68?"

6052, 12104, 18156, 24208, etc.

Since 6052 is the first number they have in common, 6052 is the least common multiple of 89 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 6052 (the least common multiple), so you can continue the green list above with more common multiples of 89 and 68 by simply adding 6052 to the last number on the list.

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What are the common multiples of 89 and 69?
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