Question

Jiani gets paid for a job every 9 weeks and Rosa gets paid for a job every 12 weeks. How many weeks will it take for them to get paid at the same time? Type your response into the box below.(1 point)

1 answer

The number of weeks it will take for them to get paid at the same time is the least common multiple (LCM) of 9 and 12.

The prime factors of 9 are 3 and 3.
The prime factors of 12 are 2, 2, and 3.

The LCM is the product of the highest powers of all prime factors, which gives us LCM = 2 × 2 × 3 × 3 = 36.

Therefore, it will take 36 weeks for Jiani and Rosa to get paid at the same time.