Show that if a and b are positive integers, then ab =
Chapter 4, Problem 31E(choose chapter or problem)
Problem 31E
Show that if a and b are positive integers, then ab = gcd(a , b)· lcm(a , b).[Hint: Use the prime factorizations of a and b and the formulae for gcd(a , b)· lcm(a , b) in terms of these factorizations.]
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