GCF and LCM

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

What is the LCM (Least Common Multiple)?

Back

The LCM is the smallest multiple that is exactly divisible by two or more numbers.

Front

Find the GCF of 12 and 18.

Back

The GCF is 6.

Front

Find the LCM of 4 and 5.

Back

The LCM is 20.

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.

Front

How do you find the GCF of two numbers using prime factorization?

Back

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

Front

How do you find the LCM of two numbers using prime factorization?

Back

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

Front

What is the GCF of 30 and 45?

Back

The GCF is 15.

Front

What is the LCM of 8 and 12?

Back

The LCM is 24.

Front

If the GCF of two numbers is 1, what can we say about those numbers?

Back

The numbers are coprime (they have no common factors other than 1).