What are the common multiples of 19 and 84?

Common multiples of 19 and 84 are numbers that both 19 and 84 can be divided into evenly with no remainder.

To find the common multiples of 19 and 84, we compare the list of multiples of 19 with the list of multiples of 84 to see what they have in common.

To create a list of multiples of 19, we multiply 19 by 1, 19 by 2, and so on like this:

19 x 1 = 19
19 x 2 = 38
19 x 3 = 57
19 x 4 = 76
...

Similarly, to create a list of multiples of 84, we multiply 84 by 1, 84 by 2, and so on like this:

84 x 1 = 84
84 x 2 = 168
84 x 3 = 252
84 x 4 = 336
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 19 and 84?"

1596, 3192, 4788, 6384, etc.

Since 1596 is the first number they have in common, 1596 is the least common multiple of 19 and 84.

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 1596 (the least common multiple), so you can continue the green list above with more common multiples of 19 and 84 by simply adding 1596 to the last number on the list.

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What are the common multiples of 19 and 85?
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