GCF and LCM

Front

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

Back

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers.

Front

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

Back

To find the LCM using prime factorization, factor each number into its prime factors, then take the highest power of each prime factor that appears in any of the factorizations.

Front

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

Back

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

Front

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

Back

To find the GCF using prime factorization, factor each number into its prime factors, then take the lowest power of each prime factor that appears in both factorizations.

Front

What is the relationship between LCM and GCF of two numbers?

Back

The relationship is given by the formula: LCM(a, b) * GCF(a, b) = a * b.

Front

List the steps to find the LCM of two numbers using the listing method.

Back

1. List the multiples of each number. 2. Identify the smallest multiple that appears in both lists.

Front

What is the LCM of 6 and 8?

Back

The LCM of 6 and 8 is 24.

Front

What is the GCF of 15 and 25?

Back

The GCF of 15 and 25 is 5.

Front

How do you determine if a number is odd or even?

Back

A number is even if it is divisible by 2; it is odd if it is not divisible by 2.

Front

What is the LCM of 12 and 15?

Back

The LCM of 12 and 15 is 60.