Discrete Element Methods (DEM) are widely used to study the mechanical properties of granular materials. DEM can be categorized into two types based on time integration: explicit and implicit approaches. The implicit DEM allows for larger time steps and has shown computational efficiency in applications such as robotics and computer graphics. However, it is rarely used in the geomechanics community, and its computational efficiency in geomechanics, compared to the explicit DEM, has not been well explored. This study investigates the computational performance of both explicit and implicit DEM approaches through standard triaxial tests commonly used in geomechanics. The numerical simulation program CHRONO is employed, as it provides a unified computation platform for both implicit and explicit DEM, ensuring a fair comparison. The results help to clarify the strengths of each DEM approach in geomechanics.