Question: Show that the Euler totient function is multiplicative for coprime numbers, that is, if gcd(a, b) =1 then (ab) = (a)(b).

Show that the Euler totient function is multiplicative for coprime numbers, that 

Show that the Euler totient function is multiplicative for coprime numbers, that is, if gcd(a, b) =1 then (ab) = (a)(b).

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