https://file.aiquickdraw.com/mathbot/file/1729998154090v8jx7jva.jpg

The problem is asking for the Least Common Multiple (LCM), denoted as \( KPK \) in Indonesian, of \( 5k \) and \( 3b \), where \( k \) and \( b \) are numbers provided in previous problems, specifically 4 and 5.

Let's break down the solution:

1. Given:
   - \( k = 4 \)
   - \( b = 5 \)

2. We need to find the values of \( 5k \) and \( 3b \):
   - \( 5k = 5 \times 4 = 20 \)
   - \( 3b = 3 \times 5 = 15 \)

3. Now, we calculate \( KPK(20, 15) \), the LCM of 20 and 15.

   - The prime factorization of 20 is \( 2^2 \times 5 \).
   - The prime factorization of 15 is \( 3 \times 5 \).

4. The LCM takes the highest power of each prime factor:
   - For 2: \( 2^2 \)
   - For 3: \( 3 \)
   - For 5: \( 5 \)

   So, \( KPK(20, 15) = 2^2 \times 3 \times 5 = 4 \times 3 \times 5 = 60 \).

The answer is:
- **d. 60**

Would you like a detailed explanation of how to find the LCM, or have any questions about this solution?

Here are some related questions:
1. What is the process of finding the LCM for more than two numbers?
2. How does prime factorization help in finding the LCM?
3. Can the LCM of two numbers ever be one of the numbers itself?
4. What are other methods to find the LCM without prime factorization?
5. How is LCM used in real-life applications?

**Tip:** When calculating the LCM, always take the highest power of each prime factor present in any of the numbers.

KPK(k, y) menyatakan Kelipatan Persekutuan Terkecil dari k dan y. Berdasarkan nilai k dan b yang didapatkan dari nomor 4 dan 5, Nilai dari KPK(5k, 3b) adalah...

Learn how to calculate the Least Common Multiple (LCM) of 5k and 3b given specific values of k and b. This math problem involves using prime factorization and is suitable for students in Grades 7-9.

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