What are the common multiples of 55 and 58?

Common multiples of 55 and 58 are numbers that both 55 and 58 can be divided into evenly with no remainder.

To find the common multiples of 55 and 58, we compare the list of multiples of 55 with the list of multiples of 58 to see what they have in common.

To create a list of multiples of 55, we multiply 55 by 1, 55 by 2, and so on like this:

55 x 1 = 55
55 x 2 = 110
55 x 3 = 165
55 x 4 = 220
...

Similarly, to create a list of multiples of 58, we multiply 58 by 1, 58 by 2, and so on like this:

58 x 1 = 58
58 x 2 = 116
58 x 3 = 174
58 x 4 = 232
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 55 and 58?"

3190, 6380, 9570, 12760, etc.

Since 3190 is the first number they have in common, 3190 is the least common multiple of 55 and 58.

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 3190 (the least common multiple), so you can continue the green list above with more common multiples of 55 and 58 by simply adding 3190 to the last number on the list.

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What are the common multiples of 55 and 59?
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