Answer:
1800
Step-by-step explanation:
You want the least common multiple (LCM) of 72 and 150 given their prime factorizations:
- 72 = 2³ × 3²
- 150 = 2 × 3 × 5²
Least Common Multiple
The LCM is found as follows:
- Identify the unique prime factors (2, 3, 5)
- Identify the highest power of each (3, 2, 2)
- Raise those factors to those power to get the LCM
LCM(72, 150) = 2³ × 3² × 5² = 1800
