CMS and LMS are both course management systems. According to Learn Dash.com http://www.learndash.com/course-management-system-vs-learning-management-system/ . Course management systems are narrower in scope. That is, this system focuses on the management and distribution of eLearning and instructor led courses. To put it another way, course management is often the main function of an LMS – a secure place to store and launch training to a subset of users. In some respect, you can attribute metrics to a course management system, but that isn’t a requirement. A course management system also has less need to be SCORM compliant. An LMS on the other hand encompasses course management, but is more robust in that it often implies a subset of learning standards (i.e. SCORM) for reporting purposes, and lately has started to include learning that takes place outside of a computing environment. An LMS can assist in the learning strategy as it relates to improving performance. A course management system is less dynamic, more or less offering a secure database.
After reading the suggested websites, I think an LMS course management system is used more by colleges and universities for on-line learning.