Marisol and Paul start walking a circular path repeatedly at the same time. Marisol can walk around the path in 12 minutes, and Paul can do it in 9 minutes. How many minutes will they have to walk until they are both back at the beginning of the path at the same time?(1 point)
To find the least common multiple (LCM) of 12 and 9, we can list the multiples of both numbers until we find a common multiple:
Multiples of 12: 12, 24, 36, 48, 60, ...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, ...
The common multiples are 36 and 72. Therefore, it will take 36 minutes for Marisol and Paul to both be back at the beginning of the path at the same time.