Although significant amount of research has been done to develop LED lamp packages for improved performance, no standard theories or guidelines have been established yet for designing LED lamp packages. In this paper, the photon extraction efficiency depending on both the InGaN/Sapphire LED chip structure and its attachment schemes for chip mounting has been analyzed by using the Monte Carlo photon simulation method. Based on the results of the analysis, we have derived guidelines for LED lamp package design, which can be utilized in industries or research institutes for designing new LED lamp packages optimized for particular applications.