The least common multiple (LCM) of 9, 8, and 3 is 72.
To find the LCM, we can start by determining the prime factorization of each number:
- 9 = 32
- 8 = 23
- 3 = 31
Next, we take the highest power of each prime that appears in any of the factorizations:
- For 2, the highest power is 23 from 8.
- For 3, the highest power is 32 from 9.
Now, we multiply these together to get the LCM:
LCM = 23 × 32 = 8 × 9 = 72.
Thus, the least common multiple of 9, 8, and 3 is 72.