SOLUTION: Is the LCM of two prime numbers always their product?

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Question 180637: Is the LCM of two prime numbers always their product?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the LCM of a and b is:

LCM%28a%2Cb%29=%28a%2Ab%29%2Fgcf%28a%2Cb%29


If "a" and "b" are prime, this means that gcf%28a%2Cb%29=1 (since primes numbers have NO common factors, other than 1, between them)


So LCM%28a%2Cb%29=%28a%2Ab%29%2Fgcf%28a%2Cb%29=%28a%2Ab%29%2F1=a%2Ab


This shows us that the LCM of two prime numbers is simply their product.