Answer
$35$ nights
Work Step by Step
To find out how often Craig Campanella and Edie Hall will have the same night off, we need to determine the least common multiple ($LCM$) of $5$ and $7$. The $LCM$ will represent the number of nights after which their schedules will align.
The prime factorization of $5$ is simply $5$, as it is a prime number. The prime factorization of $7$ is also $7$, as it is also a prime number.
To find the $LCM$, we take the highest power of each prime factor:
$LCM(5, 7) = 5 \cdot 7 = 35$.
It could be concluded that Craig and Edie will have the same night off every $35$ nights.
