Whelp... someone pointed out to me that the livestream hash changes whenever they reset the webcam, so... here's the latest for mplayer:
rtmpdump -r "rtmp://212-102.livestream.com/mogulus-stream-edge/lrnfm" -a "mogulus-stream-edge/lrnfm" -f "LNX 11,2,202,238" -W "http://cdn.livestream.com/chromelessPlayer/v21/playerapi.swf?isPopUpPlayer=true&autoPlay=true&id=player&allowChat=true&t=269158&allowShare=true&hideInfo=false&time=&jsEnabled=false" -p "http://www.livestream.com" -y "rtmp://212-47.livestream.com/affiliateStream/lrnfm/6c69766572657065617465723a72746d703a2f2f3231322d34372e6c69766573747265616d2e636f6d2f6d6f67756c75732f6c726e666d2f4c524e464d3030303032303132303932322d3137303630365f343935"|mplayer -
And for VLC:
rtmpdump -r "rtmp://212-102.livestream.com/mogulus-stream-edge/lrnfm" -a "mogulus-stream-edge/lrnfm" -f "LNX 11,2,202,238" -W "http://cdn.livestream.com/chromelessPlayer/v21/playerapi.swf?isPopUpPlayer=true&autoPlay=true&id=player&allowChat=true&t=269158&allowShare=true&hideInfo=false&time=&jsEnabled=false" -p "http://www.livestream.com" -y "rtmp://212-47.livestream.com/affiliateStream/lrnfm/6c69766572657065617465723a72746d703a2f2f3231322d34372e6c69766573747265616d2e636f6d2f6d6f67756c75732f6c726e666d2f4c524e464d3030303032303132303932322d3137303630365f343935" | vlc -