To find the Least Common Multiple (LCM) of 30 and 50, we can follow these steps:

### Step 1: Prime Factorization
Find the prime factorization of each number:

- **30**: \(30 = 2 \times 3 \times 5\)
- **50**: \(50 = 2 \times 5^2\)

### Step 2: Identify the Highest Power of Each Prime
Take the highest power of each prime factor that appears in the factorizations:

- **2**: \(2^1\)
- **3**: \(3^1\)
- **5**: \(5^2\)

### Step 3: Calculate the LCM
Multiply these highest powers together:

\[
\text{LCM} = 2^1 \times 3^1 \times 5^2 = 2 \times 3 \times 25 = 150
\]

### Conclusion
The Least Common Multiple (LCM) of 30 and 50 is **150**.

Would you like further details or have any questions? Here are 5 related questions:

1. What is the Least Common Multiple (LCM) of 45 and 60?
2. How is the LCM different from the Greatest Common Divisor (GCD)?
3. How can the LCM be found using the GCD of two numbers?
4. What is the LCM of three or more numbers, such as 12, 18, and 24?
5. How does the LCM apply in solving problems involving fractions?

**Tip:** The LCM is particularly useful when adding, subtracting, or comparing fractions with different denominators.

Discover how to find the Least Common Multiple (LCM) of 30 and 50 using prime factorization. Learn the key steps to solve this problem, including the prime factorization of both numbers and applying the highest powers of prime factors. Suitable for students in Grades 6-8.

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