Question

Find the least common multiple of the given numbers. $$8 \text { and } 12$$

Name: Problem 14, Chapter 1: Intermediate Algebra
Uploaded: 2022-02-25T00:55:15-08:00
Duration: 25 s
Channel: Victor Salazar
Description: Find the least common multiple of the given numbers. 8 and 12

   Find the least common multiple of the given numbers.
$$8 \text { and } 12$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 1, Problem 14

Instant Answer

Solved by Expert Victor Salazar

02/25/2022

Step 1

For 8, we have 8, 16, 24, 32, 40, and so on. For 12, we have 12, 24, 36, 48, and so on. Show more…

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Find the least common multiple of the given numbers. $$8 \text { and } 12$$

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Key Concepts

Least Common Multiple (LCM)

The Least Common Multiple is the smallest number that is a multiple of two or more integers. It is an important concept in number theory that is used to find a common base when adding, subtracting, or comparing fractions, and it also appears in problems involving cycles or synchronized events.

Prime Factorization

Prime factorization involves breaking down a composite number into its prime components. This method helps in finding the LCM by identifying the highest powers of all prime factors present in the given numbers.

Multiples

Multiples of a number are the products obtained by multiplying the number by integers. Understanding multiples is key to finding common multiples, as the LCM is the smallest number that appears in the list of multiples for each of the given numbers.

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