Find-out-x-y-such-that-lcm-x-y-gcd-x-y-lcm-x-y-gcd-x-y-

Question Number 62214 by Rasheed.Sindhi last updated on 17/Jun/19

Find out x, y such that

\frac{lcm (x, y)}{\gcd (x, y)} = lcm (x, y) - \gcd (x, y)

Answered by MJS last updated on 17/Jun/19

lcm (x, y) = \frac{\gcd^{2} (x, y)}{\gcd (x, y) - 1}

\Rightarrow \gcd (x, y) = 2 \land lcm (x, y) = 4 \Rightarrow

\Rightarrow x = 2 \land y = 4 \lor x = 4 \land y = 2

Commented by Rasheed.Sindhi last updated on 18/Jun/19

TH α n k y o u S i r!