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## Least Common Multiple

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**Least Common Multiple**Section 2.6**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**Objective 1Find the least common multiple (LCM) of two or**more whole numbers using the Individual Prime-Factoring Method**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**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**Objective 2:Find the least common multiple (LCM) of two or**more whole numbers using the Group Prime-Factoring Method**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