1. Least Common Multiple and Introduction to Prime Factorization
By: Miss Roberts
Date: September 4, 2007
Definitions
Examples
Activity

2. Objective
To gain an understanding of the terms related to multiples and factors
To use knowledge to solve basic problems and word problems

3. Vocabulary Review

4. 6 X 8 = 48 product The is the answer to a multiplication problem.
Example:
6 X 8 = 48
THE PRODUCT

5. The multiple of a number is any product of that number and another number.
Example:
Multiples of the number 2
2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, 2x6=12, …

6. A multiple shared by two or more numbers is called a
common multiple
Example:
Common multiples of the 2 and 4
2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, …
4x1=4, 4x2=8, 4x3=12, 4x4=16, 4x5=20…

7. least common multiple (LCM)
The ______ is the smallest number, other than zero, that is the common multiple of two or more numbers.
least common multiple (LCM)
Example:
Least common multiple of the 2 and 4
2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, …
4x1=4, 4x2=8, 4x3=12, 4x4=16, 4x5=20…

8. Introduction to New Terms

9. Numbers multiplied to give a product are called ____________.
sibling numbers
the least common multiple
Example:
6 X 8 = 48
factors
products
None of the above
FACTORS

10. A is a whole number that has factors other than just 1 and itself.
A number that has exactly two factors, 1 and itself, is called a number.
composite number
Example:
Composite Number
12: 1, 2, 3, 4, 6, 12 (has factors other than 1 and itself)
prime number
Example:
Prime Number
7: 1, 7 (only factors are 1 and itself)

11. What is method used to write a composite number as a product of its prime factors?
Prime Factorization
Example:
1x2x2x5 = 20 20 10 2 2 5 2 1

12. Let’s Practice with an Activity!
What is the next step?
Let’s Practice with an Activity!