if that's too cheesy, 24
Applied math - using numbers in real life situations

OK. There is a minimum length of wood so that any length beyond it, it can be divided by a number between 12 and 15 with no waste. What is that minimum length?
[you did answer correctly the first time based on my failure of writing out the question correctly but i made the pertinent correction, so now proceed]

does that mean all numbers between 12 and 15? And if so, does that mean integers? And including 12 and 15?

no waste meaning if u have a piece 32" and u make two 15" long pieces out of it, you'd have 2" of waste...a size less than 12".

for example, one of the numbers beyond will be a decimal, and since you divide by all numbers between 12 and 15, that includes integers. You can't evenly divide a decimal by integers

You did not ask for a minimum length, you asked for a length that not matter what is added to it, it can be divided with no waste.
If you don't understand your own question, then don't expect others to find a solution.
I wrote it fine. Please hold back your accusations unless you really are certain you know what you are saying.

Say if the solution is x and y is a positive number. Then as long as the piece is x+y in length it could be cut into pieces ranging from 12 to 15 with no waste, ASSURED. You see my question is posed so you would not have to be scrutinizing an exact figure for all the cuts, if you are cutting up a very long piece into sections that you could later process. If you were a tree cutter you would understand the issue.
If there is a minimum length say 29 (which is not the answer), then i'd know i could also cut a piece 29.3, 30.4, 30.6, 31.7 and all of these would also be able to be cut into the length constraints I mentioned and having ZERO waste.
12, right?