Answer:
360
Explanation:
- To find the Lowest Common Multiple (LCM) of 120 and 180, you can use the prime factorization method.
- Find the prime factorization of each number:
120 = 2³ × 3¹ × 5¹
180 = 2² × 3²× 5¹
- Identify the highest power of each prime factor that appears in either number. The LCM will be the product of these highest powers.
The highest power of 2 in either number is 2³
The highest power of 3 in either number is 3²
The highest power of 5 in either number is 5¹
- Multiply these highest powers together to find the LCM:
LCM = 2³ × 3² × 5¹ = 8 × 9 × 5 = 360
So, the LCM of 120 and 180 is 360.