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Mastering Least Common Multiple Techniques

Learn how to find the least common multiple of whole numbers using Individual and Group Prime-Factoring Methods. Explore four ways to define LCM and practice writing LCM using prime factorization.

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Mastering Least Common Multiple Techniques

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  1. Least Common Multiple Section 2.6

  2. Objectives • Find the least common multiple (LCM) of two or more whole numbers using the Individual Prime-Factoring Method • Find the least common multiple (LCM) of two or more whole numbers using the Group Prime-Factoring Method

  3. Objective 1Find the least common multiple (LCM) of two or more whole numbers using the Individual Prime-Factoring Method

  4. Objective 1 • Four ways to define LCM • Smallest natural number that is a multiple of each whole number • Smallest natural number has each whole number as a factor • Smallest natural number has each whole number as a divisor • Smallest natural number that each whole number will divide evenly • Could list the multiples of each number and select the smallest that is common to all

  5. Objective 1 • To write the LCM of two or more whole numbers using the Individual Price-Factoring Method • Find the prime factorization of each number in exponent form • Find the highest power of each prime factor

  6. Objective 2:Find the least common multiple (LCM) of two or more whole numbers using the Group Prime-Factoring Method

  7. Objective 2 • Divide at least two of the numbers by any prime number, Continue dividing the remaining quotients in the same manner until no two quotients have a common divisor • Write the product of the divisors and the remaining quotients

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