What are the common multiples of 88 and 71?


Common multiples of 88 and 71 are numbers that both 88 and 71 can be divided into evenly with no remainder.

To find the common multiples of 88 and 71, we compare the list of multiples of 88 with the list of multiples of 71 to see what they have in common.

To create a list of multiples of 88, we multiply 88 by 1, 88 by 2, and so on like this:

88 x 1 = 88
88 x 2 = 176
88 x 3 = 264
88 x 4 = 352
...

Similarly, to create a list of multiples of 71, we multiply 71 by 1, 71 by 2, and so on like this:

71 x 1 = 71
71 x 2 = 142
71 x 3 = 213
71 x 4 = 284
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 88 and 71?"

6248, 12496, 18744, 24992, etc.


Since 6248 is the first number they have in common, 6248 is the least common multiple of 88 and 71.

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 6248 (the least common multiple), so you can continue the green list above with more common multiples of 88 and 71 by simply adding 6248 to the last number on the list.

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