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What is the difference between the LCM and the GCF of numbers?

Question #139798. Asked by nannywoo.
Last updated Mar 22 2015.
Originally posted Mar 22 2015 12:42 PM.

LauraMcC star
Answer has 4 votes
Currently Best Answer
LauraMcC star
16 year member
117 replies avatar

Answer has 4 votes.

Currently voted the best answer.
The lowest common multiple (LCM) is the lowest number that is a multiple of two numbers. For example, multiples of 2 are 2, 4, 6, 8 etc, and multiples of 3 are 3, 6, 9, 12 etc, so the LCM of 2 and 3 is 6.

This is most commonly used when adding, subtracting etc fractions with different denominators.


The greatest common factor (GCF) is the opposite; it is the largest number that is a factor of two whole numbers. For example, factors of 12 are 1, 2, 3, 4, 6 and 12, and factors of 15 are 1, 3, 5 and 15, so the GCF of 12 and 15 is 3.

These are most commonly used to simplify fractions.


Mar 22 2015, 1:02 PM
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