What is the relationship between kcat and Km in enzyme kinetics?

In enzyme kinetics, kcat (catalytic constant) and Km (Michaelis constant) are related in the Michaelis-Menten equation. Km represents the substrate concentration at which the enzyme works at half of its maximum speed, while kcat is the turnover number, indicating how quickly the enzyme can convert substrate into product. The ratio kcat/Km is a measure of enzyme efficiency, with a higher value indicating a more efficient enzyme.