What are the common multiples of 53 and 93?


Common multiples of 53 and 93 are numbers that both 53 and 93 can be divided into evenly with no remainder.

To find the common multiples of 53 and 93, we compare the list of multiples of 53 with the list of multiples of 93 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 93, we multiply 93 by 1, 93 by 2, and so on like this:

93 x 1 = 93
93 x 2 = 186
93 x 3 = 279
93 x 4 = 372
...

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 93?"

4929, 9858, 14787, 19716, etc.


Since 4929 is the first number they have in common, 4929 is the least common multiple of 53 and 93.

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 4929 (the least common multiple), so you can continue the green list above with more common multiples of 53 and 93 by simply adding 4929 to the last number on the list.

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