Question

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!

Answer 1

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

`L.C.M.(a,b)* H.C.F.(a,b)=a* b` ...(i)

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

Putting H.C.F. (a,b)= 36 and
`a* b=23328` in (i), we get

`L.C.M.(a,b)* 36=23328`

Divide both sides by 36.

`L.C.M.(a,b)=(23328)/(36)`

`L.C.M.(a,b)=648`

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