Both answers above are correct. If you find the technical answers confusing though here's the difference in basic terms.
SR cartos produce a cooler vape. LR cartos produce a warmer vape with more TH. Like Reidus said, LR is generally considered 2.0ohm and below and SR is generally around 2.5ohm-3.0om.
The lower the ohm of the carto, the warmer the vape will be. So while a 1.5ohm carto, a 1.7ohm carto, and a 2.0ohm carto are all considered LR, the 1.7ohm carto will give a slightly warmer vape than the 2.0ohm carto, and the 1.5ohm carto will give a slightly warmer vape than the 1.7ohm carto.
Slim ecigs can only use SR cartos and their not made to handle LR cartos, so if you use a slim ecig I wouldn't use LR cartos bc it can damage and/or kill your battery.
LR cartos are only for bigger battery PVs. If you use a bigger battery PV like an eGo, kGo, riva, Epower, etc etc etc, then you can use LR cartos. Most people that use lower fixed voltage PVs like the 3.4V eGo or the 3.7V kGos, rivas, Epowers prefer LR cartos.
Basically the purpose of LR cartos is to simulate higher voltage vaping.
Hopefully this makes alittle more sense for ya about the difference between LR and SR.
What PV do you use?