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An operations coordinator is synchronizing two production lines with maintenance cycles of 18{}18 and 24{}24 days. To find the next day both lines will be serviced together, the coordinator identifies the set of prime factors to be multiplied: 22233{}2 \cdot 2 \cdot 2 \cdot 3 \cdot 3. According to the Prime Factors Method, the resulting least common multiple (LCM) is ____.

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