Point to Ponder: LCM and HCF

We have talked about Highest Common Factor (HCF) of two or more numbers and Lowest Common Multiple (LCM) of two or more numbers.

Why don't we talk about the Lowest Common Factor or the Highest Common Multiple of two or more numbers?

1. The lowest common factor of every whole number is 1, so there is no use finding out the use of the lowest common factor. We cannot tell what is the biggest number in the world, thus the term highest common multiple cannot be defined. The numbers will be endless.

1. Clear explanation. It would be better if what's described can be supported with some examples :)
Try that

2. This is because, the lowest common multiple is always 1 (for whole numbers) while the highest common factor can reach up to an unknown number as multiplication can keep on taking place.

1. Well explained. Let's illustrate it with some figures!

3. This is because, the lowest common multiple is always 1 (for whole numbers) while the highest common factor can reach up to an unknown number as multiplication can keep on taking place. For example, the lowest common factor of 2010 and 1013 is 1 while the highest common multiple would be unable to be defined as 2010 can uncountably multiply by 2013.

4. Every lowest common factor of every number is 1. It is very simple to find out that, thus it is rather useless. Whereas for highest common multiple, the numbers can get bigger and bigger. We will never know the limit. Example: The highest common multiple of 20 and 10. The numbers can be up to 20,000,000. It will be endless.

5. The lowest common multiple can reach to one at most but the highest common factors can reach to and infinity