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 1 Find 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