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Using the prime factors method, what is the least common multiple of 24 and 36?
A72
B36
C144
D864
Answer & Solution
Correct answer: A. 72
1. Write 24 as the product of primes: 2 times 2 times 2 times 3.
2. Write 36 as the product of primes: 2 times 2 times 3 times 3.
3. Match the primes vertically: two columns of 2s, one extra 2 from 24, and two 3s.
4. Bring down every column and multiply the factors to get 72.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_
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