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LCM equation (Posted on 2013-11-19) Difficulty: 2 of 5
The least common multiple (LCM) of 2 numbers is the smallest number that they both divide evenly into.

For any integer n, show that LCM(9n + 8, 6n + 5) = 54n^2 + 93n + 40.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (2 votes)

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re(2): Proof | Comment 4 of 5 |
(In reply to re: Proof by Steve Herman)

I now see the flaw in my "proof". In the third paragraph I claim that the two numbers differ by 3n + 3, and that that is divisible by 3 and by n.  Of course it's not actually divisible by n, but rather by n + 1.
  Posted by Charlie on 2013-11-20 09:46:52

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