The G. C.F of 2 numbers is 36. The product of the 2 numbers is 23328. What is the L. C.M of the 2 numbers? PLS ANSWER!

Given:

The G.C.F of 2 numbers is 36.

The product of the 2 numbers is 23328.

To find:

The L.C.M. of the 2 numbers.

Solution:

If a and b are two numbers, then

      ...(i)

We know that H.C.F. is equal to G.C.F.

Putting H.C.F. (a,b)= 36 and in (i), we get

Divide both sides by 36.

Therefore, the L.C.M. of the 2 numbers is 648.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1