How To Find Least Common Multiple Using Prime Factorization
Multiply the list of prime factors together to find the LCM. Before you get started in this module try a few practice problems and review prior concepts.
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Another way to find the least common multiple of two numbers is to use their prime factors.
How to find least common multiple using prime factorization. Steps on How to Find the LCM using Prime Factorization. Align the common prime factor base whenever possible. List all the prime numbers found as many times as they occur most often for any one given number.
Find all the prime factors of each given number. The least common multiple is a common curriculum outcome for High School Mathematics. We start by finding the prime factorization of each number.
For each prime factor find where it occurs most often as a factor and write it that many times in a new list. How to find LCM by Prime Factorization. What is the least common multiple of 8 and 56 by using the prime factorization method.
This lesson covers the following objectives. LCM 2 2 3 3 36 Thus the LCM of 6 12 and 18 is 36. The LCMab is calculated by finding the prime factorization of both a and b.
30 2 3 5 45 3 3 5 Then multiply each factor the greatest number of times it. Lcm6 12 18 36. This is the best method when finding LCM of 3 or more numbers.
To learn more about least common multiples review the accompanying lesson called Using Prime Factorizations to Find the Least Common Multiples. Bradley shows us how to find the LCM using prime factorization. For more like this go to httpswwwletsdomathca Its an easy-to-use route to resources faster than scrolling through videos on YTEasy intro to a cool m.
2 2 3 3 Multiply these factors together to find the LCM. Use the same process for the LCM of more than 2 numbers. The prime factor with the highest power implies that it occurs the most in the entire list.
12 2 2 3 18 2 3 3. For the numbers with a common prime factor base select the prime number that has the highest power. This video teaches you how to find the LCM by Prime Factorization.
Perform the prime factorization of each number then write it in exponential form. One way to find the least common multiple of two numbers is to first list the prime factors of each number. Well use this method to find the LCM of 12 and 18.
To find this out youll use prime factorization and find the least common multiplewell explore both of those concepts in this section.
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