2. Unit 4: Prime Factorization
  3. Lesson 2: Using Prime Factorization to Determine the GCF and LCM

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Using Prime Factorization to Determine the GCF and LCM

Source: Toy Trains - vejaa/iStock/Getty Images

Using Prime Factorization

In this lesson, we are going to develop a process to determine the greatest common factor and the least common multiple of two or more integers.

 

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Lesson Goals

 

  • Use prime factorization to determine the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of two or more integers.
  • Solve word problems involving GCF's and LCM's.

Try This

Costa and his sister Simone are building tracks for their toy trains. Simone uses pieces of track that are \(45\) centimetres in length, while Costa uses pieces of track that are \(20\) centimetres in length. What is the smallest number of pieces that each child will need to use so that their tracks are equal in length?