GCF & LCM

Front

What is the definition of GCF (Greatest Common Factor)?

Back

The GCF of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

What is the definition of LCM (Least Common Multiple)?

Back

The LCM of two or more integers is the smallest positive integer that is divisible by each of the integers.

Front

Calculate the LCM of 6 and 9.

Back

18

Front

Calculate the LCM of 8 and 6.

Back

24

Front

Calculate the GCF of 5 and 7.

Back

1

Front

Calculate the GCF of 56 and 49.

Back

7

Front

Calculate the LCM of 15 and 20.

Back

60

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.

Front

How do you find the GCF using prime factorization?

Back

List the prime factors of each number, then multiply the lowest powers of all common prime factors.

Front

How do you find the LCM using prime factorization?

Back

List the prime factors of each number, then multiply the highest powers of all prime factors present.