Jiani gets paid for a job every 9 weeks and Rosa gets paid for a job every 12 weeks. How many will it take for them to get paid at the same time?

Answer 1

To find the least common multiple (LCM) of 9 and 12, we prime factorize the numbers:

9 = 3^2
12 = 2^2 x 3

Taking the highest power of each prime number involved, we have 2^2 x 3^2 = 36.

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