What is the relationship between LCD and LCM?

1 Answer
Daniel L. · Alan P.
Apr 15, 2016

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#

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