Question

x and y are 2 positive integers,x>y and x is a multiple of y, then LCM is _______
Options
a)y b)x c)xy d)x/y

Answer 1

The answer of your question is option B

Answer 2

Therefore the L.C.M of x and y is x.

Step-by-step explanation:

Given that x and y are two positive integer.

and x> y

x is a multiple of y

It means x= r× y [ Where r is an integer]

x= r× y

y = 1×y

Therefore common factor of x and y is y

The H.C.F of x and y is y

We know that

Product of two number = L.C.M×H.C.F

⇒x×y = L.C.M × y

$\Rightarrow L.C.M =\frac{xy}{y}$

⇒L.C.M = x

Therefore the L.C.M of x and y is x