2. What is it?

4. But, What is a multiple? It is the product of a whole number multiplied times any other whole number (factors). 7 X 8 = 56 (multiple or product)

6. REMEMBER: FACTORS AND MULTIPLES ARE DIFFERENT

7. and What is a Common Multiple?  A Common Multiple is a number that is a multiple of two numbers.  Here are common multiples (products) for the numbers 4 and 10 10 = 10, 20, 30, 40, 50, 4 = 4, 8, 12, 16, 20, 24

8. How can I find it? LCM Listing multiples Multiples of 2: 2,4,6,8,10,12,14,16,18,20 Using prime Factorization 18 2 9 3 3 18: 3x3x2

9. Method # 1 Listing Multiples Steps: 1: Make a List of Multiples 2: Circle the common multiples 3. Identify the smallest number Example: Find the LCM of 10 and 12. 10:10, 20, 30, 40, 50, 60, 70, 80, 90, 100 12:12, 24, 36, 48, 60 LCM = 60...

10. What is the Least Common Multiple (LCM) of 4 and 10 10 = 10, 20, 30, 40, 50, 4 = 4, 8, 12, 16, 20, 24

11. What is the Least Common Multiple of 6 and 8? 8 = 8, 16, 24, 32, 40, 48 6 = 6, 12, 18, 24, 30, 36

12. What is the Least Common Multiple of 3 and 9 9 = 9, 18, 27, 36, 45, 54 3 = 3, 6, 9, 12, 15, 21,

13. Steps:  1) Write the prime factorization of each number.(divide it as much as you can!) 3) Then select the rest of the factors and multiply. 2) Select all common factors ONCE. Method 2: Using Prime Factorization

14. 20 2 10 2 5 18 2 9 3 3 1)Prime factorization: 18: 3x3x2 20: 2x2x5 3)Multiply all the factors: 2x3x3x5x2: 180 2. Common factors once: 2 Method 2: Prime Factorization and Select the remaining factors: 3,3,5 and 2

15. 45 5 9 3 3 72 8 9 3 3 2 4 2 2 PRACTICE: What is the LCM? 360

16. Practice Exercise 1:

17. Exercise 2: Find the LCM.

18. Exercise 3: Find the LCM of the following numbers.