To find the Least Common Denominator (LCD) of \(a\) and \(4a^2\), follow these steps:

1. **Identify the denominators**: 
   - The first expression is \(a\), which can be written as \(a^1\).
   - The second expression is \(4a^2\).

2. **Factor the denominators**:
   - \(a\) is already in its simplest form.
   - \(4a^2\) can be factored as \(4 \times a^2\), which is \(2^2 \times a^2\).

3. **Determine the LCD**:
   - The LCD must include the highest power of each factor present in any denominator.
   - The factors are \(2^2\) and \(a^2\).

   Therefore, the LCD is:
   \[
   \text{LCD} = 4a^2
   \]

### Summary
The Least Common Denominator (LCD) of \(a\) and \(4a^2\) is \(4a^2\).

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### Related Questions
1. What is the LCD of \(a^2\) and \(4a^3\)?
2. How do you find the LCD of two algebraic fractions?
3. Can you explain how to add fractions with different denominators?
4. What is the LCD of \(a\) and \(6a^3b\)?
5. How do you simplify fractions after finding the LCD?

### Tip
When finding the LCD, always factor each term completely to ensure you include the highest power of each factor.

Learn how to find the Least Common Denominator (LCD) of the algebraic terms a and 4a² with a step-by-step explanation. This guide covers key algebraic concepts such as factoring and using the highest powers of factors to determine the LCD. Suitable for students in Grades 8-10.

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