Identify the \( L C D \) in the equation below. \( \frac{x+4}{x+3}+\frac{12}{x}=\frac{18}{x+3} \) \( (x+3)^{2} \) \( x \) \( x+3 \) \( x(x+3) \)

To find the Least Common Denominator (LCD) in the equation \( \frac{x+4}{x+3}+\frac{12}{x}=\frac{18}{x+3} \), we identify the denominators involved: \( x + 3 \) and \( x \). The LCD is determined by taking the highest powers of each unique factor in these denominators. Here, the unique factors are \( x \) and \( x + 3 \). Therefore, the LCD is \( x(x + 3) \). \( x(x + 3) \) This common denominator will help us combine the fractions effectively and solve the equation without introducing unexpected complications. When using the LCD, remember to multiply each term in the equation by \( x(x + 3) \) carefully, ensuring all denominators are eliminated, leading to a clearer path toward isolating \( x \).