The best open source alternative to Edmodo LMS is Moodle, which is both free and Open Source. If that doesn't suit you, our users have ranked more than 100 alternatives to Edmodo LMS and many of them is open source so hopefully you can find a suitable replacement. Other interesting open source alternatives to Edmodo LMS are Open edX (Free, Open Source), Instructure Canvas (Free, Open Source), Veyon (Free, Open Source) and Chamilo (Free, Open Source).
Moodle is an open source tool for creating online dynamic web sites for their students. To work, it needs to be installed on a web server somewhere, either on one of your own computers or one at a web hosting company.
Chamilo is an open-source (under GNU/GPL licensing) e-learning and content management system, aimed at improving access to education and knowledge globally. It is backed up by the Chamilo Association, an international ONG based in Europe.
SWAD (Shared Workspace At a Distance) is a free-software, fast and efficient Learning Management System (LMS) for distance learning and teaching management. It has been developed and used at the University of Granada (Spain) since 1999.
RELATE is a web-based courseware package. It is set apart by the following features: Focus on easy content creation Simple, text-based format for reusable course content Based on standard YAML, Markdown Instructors can implement custom question/page types in Python.
ATutor is an Open Source Web-based Learning Management System (LMS) used to develop and deliver online courses. Administrators can install or update ATutor in minutes, develop custom themes to give ATutor a new look, and easily extend its functionality with feature modules.