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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 1 Find 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 PriceFactoring 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 PrimeFactoring 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