Finding the LCM of a range of numbers

Question

I read an interesting DailyWTF post today, \"Out of All The Possible Answers...\" and it interested me enough to dig up the original forum post where it was submitted. This

Answer 1

In expanding on @Alexander's comment, I'd point out that if you can factor the numbers to their primes, remove duplicates, then multiply-out, you'll have your answer.

For example, 1-5 have the prime factors of 2,3,2,2,5. Remove the duplicated '2' from the factor list of the '4', and you have 2,2,3,5. Multiplying those together yields 60, which is your answer.

The Wolfram link provided in the previous comment, http://mathworld.wolfram.com/LeastCommonMultiple.html goes into a much more formal approach, but the short version is above.

Cheers.