Prove that if f is a multiplicative arithmetic function then f([m, n])f((m, n)) = f(m)f(n) for...

Question

Question

Prove that if f is a multiplicative arithmetic function then f([m, n])f((m, n)) = f(m)f(n) for all positive integers m and n.

Hint: [m, n] is the least common multiple of m and n and (m, n) is the greatest common divisor of m and n.

Answer 1

Answer #1

son for all positive integer min let [min] - least common multiple & ecm) (min) - greatest common divisor (ged) we know that

Answer 2

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