Question

HCF of a and b be x and a=xy, then LCM of a and b

Answer 1

HCF of a and b = x
let the LCM = m
a = xy

$a*b=LCM*HCF\\ \\ab=mx\\ \\m= \frac{ab}{x} = \frac{xy*b}{y} =bx$

So LCM is bx.

Answer 2

As we know H.C.F*L.C.M=product of two numbers Therefore, X* L.C.M=a*b L.c.m=a b/x =xyb/x X and x gets cancel and we get l.c.m as by