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By definition, what is the least common multiple of two numbers?
AThe largest factor shared by both numbers
BThe smallest number that is a multiple of both numbers
CThe product of the two numbers divided by two
DThe smallest of the two numbers being compared
Answer & Solution
Correct answer: B. The smallest number that is a multiple of both numbers
1. The definition starts by requiring the result to be a multiple of both original numbers.
2. Among all the common multiples, the definition then picks out the smallest one.
3. That smallest shared multiple is what mathematicians call the least common multiple, or LCM.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_
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