A conveyor merge has two infeeds (Left, Right) feeding one takeaway. Sensors show:
At what times will cartons arrive simultaneouslyat the merge?
Think of each conveyor as running on its own “rhythm.”
What we’re really asking is: when do those two rhythms line up again? If you list out the arrival times, the first time you see the same number on both lists is 60 seconds. That’s the first moment when both conveyors deliver a carton at exactly the same time. From there, the pattern just repeats. Every 60 seconds, both sides complete a whole number of cycles:
So the merge sees simultaneous arrivals at: 1:00, 2:00, 3:00, 4:00, … In engineering terms, 60 seconds is simply the least common multiple of the two cycle times—the shortest interval where both processes sync back up.