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Objective
Find the least common multiple of two
or more numbers
Vocabulary
Multiple
The product of a number and any whole
number
Vocabulary
Common multiple
Multiples that are shared by two or more
numbers
Vocabulary
Least common multiple (LCM)
The least of two or more number’s common
multiples, excluding zero
Review
Vocabulary
Prime factorization
Expressing a composite number as a product
of prime numbers
Example 1 Find the LCM by Making a List
Example 2 Find the LCM by Using Prime Factors
Example 3 Use the LCM to Solve a Problem
Find the LCM of 24 and 9
Prime factor both 4 and 9
2 24
2 12
2 6
3
3 9
3
Circle the greatest power of each number and multiply
2 22  3 3
Answer: LCM = 72
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Find the LCM of 6 and 14 by making a list.
Answer: 42
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Find the LCM of 8 and 18.
Prime factor both 8 and 18
2 8
2 4
2
2 18
3 9
3
Circle the greatest power of each number and multiply
2 22  3 3
Answer: LCM = 72
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Find the LCM of 9 and 21.
Answer: 63
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MONEY Liam, Eva, and Brady each have the same
amount of money. Liam has only nickels, Eva has only
dimes, and Brady has only quarters. What is the least
amount of money that each of them could have?
Prime factor each of the numbers 5, 10 and 25
5
2 10
5
5 25
5
Circle the greatest power of each number and multiply
5 5 2
Answer: LCM = 50 cents
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*
CANDY Michael, Logan, and Diego each have bags of
candy that have the same total weight. Michael’s bag
has candy bars that each weigh 4 ounces, Logan’s bag
has candy bars that each weigh 6 ounces, and Diego’s
bag has candy bars that each weigh 9 ounces. What is
the least total weight that each of them could have?
Answer: 36 ounces
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Assignment
Lesson 5:4 Least Common Multiple
9 - 23 All