
least common multiplier
I've ever writen a function returning `greatest common divisor'.
But now I need `least common multiplier' to carry on my project.
Please anyone suggest me its concept. In order that I can write it by myself. :D
Any help would be much appreciated.
Thanks,

Are you having problems with the maths or the code?

I have problem with math.
I only need its concept.
I want to write it by myself. :D
Sorry in late reply.
Thanks,


To work out by brute force:
Start looping at the lowest of the two given numbers multiplied by two. Loop every number up to the product of the two numbers.
In the loop, if you modulus the current tested number by the first number and the second number, and both are 0, return the current tested number.
After the loop return the product of the two numbers.

Split the number into prime numbers. Then, for each prime number, pick the one with the most amount and multiply that to the answer.
If that sounded too weird (I guess it did) then look at this:
1500 = 2 * 2 * 3 * 5 * 5 * 5
126 = 2 * 3 * 3 * 7
For 2:s, the first one have 2 and the second has 1. 2 > 1 so we pick 2.
For 3:s, the first one has 1 and the second has 2. 1 < 2 so we pick 2.
For 5:s, the first one has 3 and the second one has 0. 3 > 0 so we pick 3.
For 7:s, the first one has 0 and the second one has 1. 0 < 1 so we pick 1.
The least common multiplier is:
2^2 * 3^2 * 5^3 * 7^1 = 31500
test:
31500 = 1500 * 21
31500 = 126 * 250
21 = 7 * 3
neither 7 nor 3 splits 250
31500 is the least common multiplier!

Thanks all of you. That is what I need.