How would you respond to Tawana, who claims that mn is the least common multiple of m and n in every case? O A. Tell Tawana that mn is only the least common multiple of m and n when GCD(m,n) = 1. If m and n are any two natural numbers, then mn = GCD(m,n) •LCM(m,n). In order for mn to equal LCM(m,n), GCD(m,n) must equal 1. O B. Tell Tawana to write the prime factorization of m and n. The product of the prime powers in the prime-power factorizations of m and n that have the smaller exponents (including zero) is the least common multiple. O c. Tell Tawana to consider the sets m and n. Finding the union of the sets m and n is a method of finding the least common multiple. The least common multiple is the smallest multiple in the union of the two sets. O D. Tell Tawana to find the greatest natural number that divides both m and n, which is the definition of the least common multiple of m and n, written I CM(m.n).

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How would you respond to Tawana, who claims that mn is the least common multiple of m and n in every case?
O A. Tell Tawana that mn is only the least common multiple of m and n when GCD(m,n) = 1. If m and n are any two natural numbers, then
mn = GCD(m,n) • LCM(m,n). In order for mn to equal LCM(m,n), GCD(m,n) must equal 1.
O B. Tell Tawana to write the prime factorization of m and n. The product of the prime powers in the prime-power factorizations of m and n that have the
smaller exponents (including zero) is the least common multiple.
O c. Tell Tawana to consider the sets m and n. Finding the union of the sets m and n is a method of finding the least common multiple. The least common
multiple is the smallest multiple in the union of the two sets.
O D. Tell Tawana to find the greatest natural number that divides both m and n, which is the definition of the least common multiple of m and n, written
I CM(m.n).
Transcribed Image Text:How would you respond to Tawana, who claims that mn is the least common multiple of m and n in every case? O A. Tell Tawana that mn is only the least common multiple of m and n when GCD(m,n) = 1. If m and n are any two natural numbers, then mn = GCD(m,n) • LCM(m,n). In order for mn to equal LCM(m,n), GCD(m,n) must equal 1. O B. Tell Tawana to write the prime factorization of m and n. The product of the prime powers in the prime-power factorizations of m and n that have the smaller exponents (including zero) is the least common multiple. O c. Tell Tawana to consider the sets m and n. Finding the union of the sets m and n is a method of finding the least common multiple. The least common multiple is the smallest multiple in the union of the two sets. O D. Tell Tawana to find the greatest natural number that divides both m and n, which is the definition of the least common multiple of m and n, written I CM(m.n).
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