Case Study

Synchronizing Logistics Maintenance Cycles

As a logistics assistant at a distribution center, you need to coordinate two recurring operations: Equipment Inspection (which occurs every 18 days) and Inventory Audit (which occurs every 24 days). Your supervisor asks you to find the first day both events happen together by calculating the Least Common Multiple (LCM) of 18 and 24 using the Prime Factors Method.

Recall and describe the four specific steps of the Prime Factors Method to calculate this LCM. Show the mathematical work for each step.

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Updated 2026-06-17

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