What are the common multiples of 67 and 85?

Common multiples of 67 and 85 are numbers that both 67 and 85 can be divided into evenly with no remainder.

To find the common multiples of 67 and 85, we compare the list of multiples of 67 with the list of multiples of 85 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 85, we multiply 85 by 1, 85 by 2, and so on like this:

85 x 1 = 85
85 x 2 = 170
85 x 3 = 255
85 x 4 = 340
...

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 85?"

5695, 11390, 17085, 22780, etc.

Since 5695 is the first number they have in common, 5695 is the least common multiple of 67 and 85.

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 5695 (the least common multiple), so you can continue the green list above with more common multiples of 67 and 85 by simply adding 5695 to the last number on the list.

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What are the common multiples of 67 and 86?
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