Why is the least common factor not something of mathematical interest?

Answer 1

You do not find the greatest common multiple because there is really no such thing. Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

Answer 2

The least common factor of any set of integers is always 1, so there is not much to discuss.

Answer 3

Because it can't be quantified. The greatest common multiple of any set of integers is infinite.

Answer 4

The least common factor of any set of integers is 1.

Answer 5

The least common factor of any set of integers is 1.

Answer 6

The least common factor of any set of integers is always 1.