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Question Number 46972 by 23kpratik last updated on 03/Nov/18

let m,n denote any two possitive relative prime integers,then prove thatφ(mn)=φ(m)∙φ(n)

$$\boldsymbol{{let}}\:{m},{n}\:{denote}\:{any}\:{two}\:{possitive}\:{relative}\:{prime}\:{integers},{then}\:{prove}\:{that}\phi\left({mn}\right)=\phi\left({m}\right)\centerdot\phi\left({n}\right) \\ $$

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