Essay

Conveyor Belt Maintenance Alignment

As a warehouse shift supervisor, you are coordinating preventative maintenance cycles for two main conveyor lines. Conveyor Line A is scheduled for a safety inspection every 12 days, and Conveyor Line B is scheduled every 18 days. To plan your staffing and minimize conveyor downtime, you need to determine when both lines will next be inspected on the same day by finding the least common multiple (LCM) of 12 and 18 using the prime factors method.

Write a short essay recalling and explaining this calculation step-by-step. Your explanation must describe each of the four main steps of the prime factors method as outlined in your training, show the mathematical expression for each step, and state the final calculated LCM.

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Updated 2026-06-17

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