Autonomous mobile robots (AMRs) have revolutionized various aspects of our daily lives and manufacturing services. To enhance their efficiency, productivity, and safety, AMRs are equipped with advanced capacities such as object detection and tracking, localization, collision-free navigation, and decision-making. Among these technologies, 2D LiDAR commonly stands out as the prevailing choice, showcasing remarkable accomplishments in practices. Obviously, the precision of mentioned modules is affected by the accuracy of 2D LiDAR observed data. Typically, 2D LiDAR intrinsic parameters are adequately calibrated during the manufacturing process, while the extrinsic parameters should be intervened by user at the application level. Previous research has predominantly emphasized extrinsic calibration for sensor fusion, given its perceived appeal over individual 2D LiDAR extrinsic calibration. However, it is important to note that a multi-sensor system usually includes more favorable geometric constraints between different sensor datasets. In contrast, a 2D LiDAR sensor only provides position information in a 2D horizontal plane, resulting in fewer features or constraints when used alone. Besides, in the realm of multi-sensor calibration, the direct incorporation of observed data within the robot base coordinates is often overlooked, despite it is necessary for AMR applications. This paper presents an extrinsic calibration for coordinates of a single 2D LiDAR in AMRs’ base coordinates directly, which ensures accuracy as well as easy tool installation, fast and simple observation for data samples without supports from other sensors. The proposed method has been verified through both simulation and real experiments.