List the multiples of 9 and the multiples of 12. What is the first number to appear on both lists?
A72
B108
C24
D36
Answer & Solution
Correct answer: D. 36
1. List multiples of 9: 9, 18, 27, 36, 45, and so on.
2. List multiples of 12: 12, 24, 36, 48, and so on.
3. The smallest number on both lists is 36, so the least common multiple of 9 and 12 is 36.
4. 72 and 108 sit on both lists too, but they are larger than 36, so they are common multiples without being the least.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_
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