SOLUTION: Two cruise ships set sail from Florida on the same day. One makes a round trip every 12 days. The other makes a round trip every 16 days. In how many days will both cruise ships

Question 750916: Two cruise ships set sail from Florida on the same day. One makes a round trip every 12 days. The other makes a round trip every 16 days. In how many days will both cruise ships be in Florida?
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
You seek the least common multiple of 12 and 16.
12 is 2*2*3
16 is 2*2*2*2
These are the prime factors for each. Combined, we need (2^4)*3 or 48 days they will both be back at Fla port.
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