Tojustify:the given statement.
Explanation of Solution
Given information:
The given statement:
“The LCM of two relatively prime integers is their product.”
Concept used:
Two integers are relatively prime if their greatest common factor is 1
Proof:
For two relatively prime integers, their greatest common factor (GCF) is 1, that is, they have no common factor except for 1
By definition, the least common multiple (LCM) of two or more integers is the least positive integer having each as a factor.
Since, the two relatively prime integers have no common factor except for 1, their product is their LCM.
Chapter 4 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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