Question

What is the relationship between LCD and LCM?

Answer 1

Lowest common denominator is the lowest common multiple of the fractions' denominators.

Explanation:

Lowest common denominator is the lowest number to which all the fractions can be expanded, so it is the lowest common multiple of all denominators.

Example:

Let's check the following fractions:

`1/2`,`2/3`,`5/6`.

To find the lowest common denominator of the fractions we haveto find the lowest common multoiple of the fractions' denominators:

`lcd(1/2,2/3,5/6)=lcm(2,3,6)`

To calculate the `lcm` we have to find the lowest number which can be obtained by multiplying those numbers.
This number is `6` because we can multiply `2*3` and `3*2` to get `6`