hi!
suppose i have a number, say.. '7'
i want to find the highest possible lcm of the set of numbers that add
upto 7
that is.. in this case
3+4 = 7
lcm(3,4) = 12

how do i go about this?
i could always brute force the possible combinations(1,6)(2,5)...
(1,2,4)....(1,1,1,1,1,1,1)
this is clearly very inefficient

what if i enumerate pairs of coprimes(2,3)(2,5) etc...
could this lead to a better solution?

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