Find the lowest common denominator of 3/x^3y and 7/xy^4

Find the lowest common denominator of 3/x^3y and 7/xy^4

Input
lcm(3/x^3 y, 7/(x y^4))
Result
lcm(7/(x y^4), (3 y)/x^3)
Alternative representation
lcm((y 3)/x^3, 7/(x y^4)) = ((3 y) 7)/(gcd((3 y)/x^3, 7/(x y^4)) x^3 (x y^4)) for ((3 y)/x^3 element Z and x y>0 and 7/(x y^4) element Z and x y^2>0)

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