What is a common multiple of 6 and 4?

Answer 1

A multiple is defined as a number that is the product for a number given and another number.

Multiples of 4 include, but are not limited to: {8, 14, 16, 20, 24, 28, 32...}

Multiples of 6 include, but are not limited to: {12, 18, 24, 30, 36, 42...}

If you look at the above sets of numbers you can see a common multiple: 24

If you continued with the sets of numbers you would be able to find many more common multiples, such as 48.

One of the easiest ways to find a common multiple of 2, or even 3 numbers, is to multiply them by each other. This may not produce the lest common multiple, but it will be a common multiple.

The second number in the first set should be twelve, not fourteen. Twelve is a common multiple of six and four, actually the lowest common multiple.
Multiples of 4: {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64...}

Multiples of 6: {6, 12, 18, 24, 30, 36, 42, 48, 54, 60...}

So the first few common multiples are 12, 36, 48 and 60.

Answer 2

Any multiple of 12.