SOLUTION: In the expression a/b + c/d; is bd necessarily the least common multiple of b and d? why or why not?

Question 395726: In the expression a/b + c/d; is bd necessarily the least common multiple of b and d? why or why not?
Found 2 solutions by Alan3354, richard1234:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Not necessarily.
eg, if b and d are both even numbers, they have a common factor of 2.
One counter example is sufficient to prove it's not the LCM.
a = 6, b = 8
Product = 48 but the LCM = 24

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Not necessarily. For example, if b = 10 and d = 15, then their LCM is 30.
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