A logistics coordinator is coordinating two recurring delivery routes. Route A runs every 9 days, and Route B runs every 12 days. To find the first day both routes will depart simultaneously, the coordinator uses the Prime Factors Method. Arrange the following steps in the correct order to find the Least Common Multiple (LCM) of 9 and 12.

A logistics coordinator is scheduling two different delivery routes. Route A has a pickup every 9 days, and Route B has a pickup every 12 days. If both routes were picked up today, how many days will pass before they both have a pickup on the same day again? Use the method of prime factors to determine the least common multiple of 9 and 12.

A project coordinator is scheduling status updates for two separate teams. Team Alpha has an update every 9 days, and Team Beta has one every 12 days. The coordinator uses the Prime Factors Method to determine when both updates will coincide on the same day. Match each component of this specific calculation to its correct mathematical value or expression.

An industrial facility manager is coordinating service for two specialized machines. Machine A requires maintenance every 9 days, and Machine B requires maintenance every 12 days. To find the next day both machines will be serviced together, the manager uses the Prime Factors Method, noting the factorizations as ${}3 \cdot 3$ and ${}2 \cdot 2 \cdot 3$. Following the specific steps of this method, the Least Common Multiple (LCM) is ____ days.

A facilities maintenance coordinator is scheduling inspections for two cooling systems. System A requires an inspection every 9 weeks, and System B requires one every 12 weeks. When using the Prime Factors Method to find the Least Common Multiple (LCM) of these schedules, the coordinator must multiply all of the prime factors from both numbers together (${}3 \cdot 3 \cdot 2 \cdot 2 \cdot 3$) to determine the next time both systems will be inspected during the same week.