47. Let r and s be positive integers. a. Define the least common multiple of r and s as a generator of a certain cyclic group. b. Under what condition is the least common multiple of r and s their product, rs? c. Generalizing part (b), show that the product of the greatest common divisor and of the least common multiple of r and s is rs.
47. Let r and s be positive integers. a. Define the least common multiple of r and s as a generator of a certain cyclic group. b. Under what condition is the least common multiple of r and s their product, rs? c. Generalizing part (b), show that the product of the greatest common divisor and of the least common multiple of r and s is rs.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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