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A common multiple of two integers 'x' and 'y', are the multiples of 'x' which are also multiples of 'y'.

For your example, because 12 is itself a multiple of 4, ALL multiples of 12 are common multiples of 4 and 12.

To prove my point, I will list out the multiples of both 4 and 12:

multiples of 4:

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96, 100...

multiples of 12:

12,24,36,48,60,72,84,96...

You can see here that every multiple of 12, is also a multiple of 4, thus all multiples of 12 are common multiples for 4 and 12.

Also..

a quick easy list:

12,24,36,48,60,72,84,96

and if you didn't read above, because 12 is a multiple of for, all multiples of 12 are a multiple of 4 .. simple!

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13y ago

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