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Least Common Multiple Section 2.6

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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

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

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**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

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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

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

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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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