What are the common multiples of 89 and 86?

Common multiples of 89 and 86 are numbers that both 89 and 86 can be divided into evenly with no remainder.

To find the common multiples of 89 and 86, we compare the list of multiples of 89 with the list of multiples of 86 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 86, we multiply 86 by 1, 86 by 2, and so on like this:

86 x 1 = 86
86 x 2 = 172
86 x 3 = 258
86 x 4 = 344
...

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 86?"

7654, 15308, 22962, 30616, etc.

Since 7654 is the first number they have in common, 7654 is the least common multiple of 89 and 86.

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 7654 (the least common multiple), so you can continue the green list above with more common multiples of 89 and 86 by simply adding 7654 to the last number on the list.

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