Least Common Multiple
Date: 11/5/95 at 17:47:10 From: Anonymous Subject: Lowest Common Multiplier What is the lowest common multiplier of 8, 12 and 36? I'm not even sure what a lowest common multiplier is. I think it's the smallest integer which can be divided by any member of the set without leaving a remainder, but I'm not sure. The internet sure has a lot of cross-referencing on sites where one can get information on Math but very little areas where mathematics itself is discussed. You provide a valuable service.
Date: 11/12/95 at 14:27:34 From: Doctor Ken Subject: Re: Lowest Common Multiplier Hello! Actually, I'm not surprised that you don't know what a "lowest common multiplier" is. There's a term called "least common multiple" that is exactly what you describe: it's the smallest integer that can be divided evenly by each member of the set. "Multiplier" means "something you can multiply by," so "lowest common multiplier" would be the smallest number that you can multiply all of the given numbers by. Doesn't make too much sense. My favorite way to find the least common multiple (LCM) of a bunch of numbers is to write them in prime factored form, then take the greatest power on each prime. For instance, to get the LCM of 168, 98, and 45, I'd write them as 2^3 * 3 * 7, 2 * 7^2, and 5 * 3^2, and then take the biggest powers: 2^3 * 3^2 * 5 * 7^2 = 17640. -Doctor Ken, The Geometry Forum
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