What are the common multiples of 33 and 70?

Common multiples of 33 and 70 are numbers that both 33 and 70 can be divided into evenly with no remainder.

To find the common multiples of 33 and 70, we compare the list of multiples of 33 with the list of multiples of 70 to see what they have in common.

To create a list of multiples of 33, we multiply 33 by 1, 33 by 2, and so on like this:

33 x 1 = 33
33 x 2 = 66
33 x 3 = 99
33 x 4 = 132
...

Similarly, to create a list of multiples of 70, we multiply 70 by 1, 70 by 2, and so on like this:

70 x 1 = 70
70 x 2 = 140
70 x 3 = 210
70 x 4 = 280
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 33 and 70?"

2310, 4620, 6930, 9240, etc.

Since 2310 is the first number they have in common, 2310 is the least common multiple of 33 and 70.

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 2310 (the least common multiple), so you can continue the green list above with more common multiples of 33 and 70 by simply adding 2310 to the last number on the list.

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What are the common multiples of 33 and 71?
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