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Find gcd(92928,123552) and lcm(92928, 123552), and verify

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 29E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 29E

Find gcd(92928,123552) and lcm(92928, 123552), and verify that gcd(92928, 123552) · lcm(92928, 123552) = 92928 · 123552. [Hint: First find the prime factorizations of 92928 and 123552.]

Step-by-Step Solution:
Step 1 of 3

Solution:-Step1Given thatWe have to find gcd(92928,123552) and lcm(92928, 123552), and verify that gcd(92928, 123552) · lcm(92928, 123552) = 92928 · 123552. Step2We havegcd(92928,123552)Prime factorization of 9292892928= =Prime factorization of 123552123552= = Step3gcd(92928,123552)= gcd(,) =Therefore, gcd(92928,123552) is .Step4 lcm(92928, 123552)=lcm(,) = =Therefore, lcm(92928, 123552) is Step5gcd(92928, 123552) · lcm(92928, 123552) = 92928 · 123552. Here LHS(Left hand side)=gcd(92928, 123552) · lcm(92928, 123552) RHS(right hand side)= 92928 · 123552LHS=gcd(92928, 123552) · lcm(92928, 123552) = = =(92928 123552) = RHSTherefore, LHS=RHSHence, gcd(92928, 123552) · lcm(92928, 123552) = 92928 · 123552.

Step 2 of 3

Chapter 4.3, Problem 29E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Since the solution to 29E from 4.3 chapter was answered, more than 452 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Find gcd(92928,123552) and lcm(92928, 123552), and verify that gcd(92928, 123552) · lcm(92928, 123552) = 92928 · 123552. [Hint: First find the prime factorizations of 92928 and 123552.]” is broken down into a number of easy to follow steps, and 27 words. The full step-by-step solution to problem: 29E from chapter: 4.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: Find, lcm, gcd, hint, factorizations. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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