To find the Least Common Multiple (LCM) of 4 and 9, follow these steps:

### Step 1: Find the prime factorizations of 4 and 9.
- 4 = \( 2^2 \)
- 9 = \( 3^2 \)

### Step 2: Identify the highest powers of each prime factor involved.
- The prime factors here are 2 and 3.
- The highest power of 2 is \( 2^2 \).
- The highest power of 3 is \( 3^2 \).

### Step 3: Multiply the highest powers of each prime factor.
\[
\text{LCM}(4, 9) = 2^2 \times 3^2 = 4 \times 9 = 36
\]

So, the **LCM of 4 and 9 is 36**.

Would you like more details or have any questions about this? 

Here are 5 related questions:
1. How do you find the LCM of numbers that share prime factors?
2. How do you use the prime factorization method to find the LCM of larger numbers?
3. What is the relationship between the LCM and the greatest common divisor (GCD)?
4. How does the LCM relate to fractions and simplifying them?
5. Can the LCM of two numbers ever be smaller than the larger number?

**Tip:** A quick way to find the LCM is by using the formula:
\[
\text{LCM}(a, b) = \frac{a \times b}{\text{GCD}(a, b)}
\]
where GCD is the greatest common divisor.

Learn how to calculate the Least Common Multiple (LCM) of 4 and 9 using prime factorization and the LCM formula. This detailed guide will help you understand how to find the LCM of two numbers and apply related number theory concepts. Suitable for students in Grades 5-7.

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