What is the difference between a greatest common factor and a least common multiple?

Answer 1

The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. The least common factor of any set of integers is 1.

Answer 2

The greatest common factor, or GCF, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest number that all the members of a given set will divide into evenly with no remainder.

Factors go into numbers, numbers go into multiples.

Answer 3

Least common multiple is the lowest number in which both factors can be multiplied into (I.e. the LCM of 8 and 6 is 24). Greatest common factor is the largest number that can be multiplied into both factors (I.e. the GCM of 9 and 57 would be 3).

Answer 4

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.

Since the product of the GCF and LCM of two numbers equals the product of the two numbers themselves, the GCF of two numbers will equal the product of the numbers divided by the LCM and the LCM of two numbers will equal their product divided by their GCF.

Answer 5

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.

Answer 6

The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Since numbers don't stop, multiples don't stop either. The greatest common multiple is infinite.

Answer 7

The GCF is the largest number that will go into a set of given numbers. The LCM is the smallest number that a set of given numbers will go into.