Publishing to SWF - how do I play back

The index.htm file is what will play the presentation in your web browser.

To upload to your LMS is it probably easiest to take a zip of the output files (just check the zip option when publishing to make it easy) and place that in the appropriate place in your LMS. If it won't accept the zip, you'll need to upload all the output files/folders and the point to the index.htm file for that presentation.