8. Determine for which of these pairs of integers their least common multiple equals to 32 . 73. 114 . 19. a) 32 . 72. 112.19 and 7 · 11² b) 32 . 72 . 112.19 and 3 · 73 . 115. 197 c) 3· 72. 112 . 19 and 32 · 73 .114 d) 32 .7. 114 and 73 · 112 . 19 e) 2· 32 .73. 114 · 19 and 32 ·73.114 · 19 · 23
8. Determine for which of these pairs of integers their least common multiple equals to 32 . 73. 114 . 19. a) 32 . 72. 112.19 and 7 · 11² b) 32 . 72 . 112.19 and 3 · 73 . 115. 197 c) 3· 72. 112 . 19 and 32 · 73 .114 d) 32 .7. 114 and 73 · 112 . 19 e) 2· 32 .73. 114 · 19 and 32 ·73.114 · 19 · 23
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.1: Ideals And Quotient Rings
Problem 20E: 20. If and are nonzero integers and is the least common multiple of and prove that.
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