Case Study

Maintenance Cycle Synchronization Protocol

A facilities manager is following the 'listing multiples' protocol to determine when two different HVAC units will both require a filter change on the same day. Unit A is serviced every 6 days, and Unit B is serviced every 8 days. The manager has already completed the first two steps:

  1. Listed the multiples for both units (6, 12, 18, 24, 30, 36, 42, 48... and 8, 16, 24, 32, 40, 48...).
  2. Identified that 24 and 48 appear in both lists.

According to the standard 'listing multiples' procedure, what is the final step the manager must perform to identify the Least Common Multiple (LCM)?

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Updated 2026-04-20

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