Question

if (x,y) are two positive integers and x divides y then what is the L.C.M of x and y​

Answer 1

Answer:

L.C.M=y as y would be a multiple of x

Answer 2

LCM(x,y)=y

Step-by-step explanation:

x and y are two positive integers.

x divides y.

For example x=3  and y=6

By prime factorization method

$3=3\times 1$

$6=3\times 2$

LCM(3,6)=$3\times 2\times 1=6$

If x=4 and y=8

4 divides 8

$4=2\times 2 \times 1$

$8=2\times 2\times 2$

LCM(4,8)=$2\times 2\times 2=8$

Therefore, x divides y then

LCM(x,y)=y

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