The LCM is the greater.
The GCF is a factor which divides in to each number so can never be equal to the greater number, whereas the LCM is the greater of the 2 numbers or a multiple of them
Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
The range of the data is 12
7 1/5 - 2 3/5 =
36/5 - 13/5 =
23/5 or 4 3/5 <==
