LCM, GCF, and Prime Factorization

Front

What is the Least Common Multiple (LCM)?

Back

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

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

What is prime factorization?

Back

Prime factorization is the process of expressing a number as the product of its prime factors.

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple they have in common.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

What are prime numbers?

Back

Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Front

What is a composite number?

Back

A composite number is a natural number greater than 1 that is not prime, meaning it has more than two factors.

Front

Find the prime factorization of 30.

Back

The prime factorization of 30 is 2 × 3 × 5.

Front

Find the LCM of 4 and 5.

Back

The LCM of 4 and 5 is 20.

Front

Find the GCF of 12 and 16.

Back

The GCF of 12 and 16 is 4.