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Question: problem 10 for a b e z the ged greatest...

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Problem 10. For a, b e Z, the ged (greatest common divisor) can be defined as the (unique) positive integer d such that (i) d a, ) d | b, andi) if e | a and e b then e d. Similarly, the Icın (least common multiple) can be defined as the (unique) positive integer m such that (i) a 1 m, (ii) b 1 m, and (iii) if a l n and 이 n then m n. Using these definitions, prove that lcm(a,b) - ab/gcd(a, b)

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