What are the common multiples of 53 and 95?

Common multiples of 53 and 95 are numbers that both 53 and 95 can be divided into evenly with no remainder.

To find the common multiples of 53 and 95, we compare the list of multiples of 53 with the list of multiples of 95 to see what they have in common.

To create a list of multiples of 53, we multiply 53 by 1, 53 by 2, and so on like this:

53 x 1 = 53
53 x 2 = 106
53 x 3 = 159
53 x 4 = 212
...

Similarly, to create a list of multiples of 95, we multiply 95 by 1, 95 by 2, and so on like this:

95 x 1 = 95
95 x 2 = 190
95 x 3 = 285
95 x 4 = 380
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 53 and 95?"

5035, 10070, 15105, 20140, etc.

Since 5035 is the first number they have in common, 5035 is the least common multiple of 53 and 95.

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 5035 (the least common multiple), so you can continue the green list above with more common multiples of 53 and 95 by simply adding 5035 to the last number on the list.

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What are the common multiples of 53 and 96?
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