Not sure if it would apply to your guy's Sportages, but the Sorentos have a label above the pumpkin on the rear that indicated if it is "LSD" or not, also gives the ratio (either 3.333 or 4.666 on our Kia 10 bolts)

2005 Kia Sorento LX - 3.5L with 5 speed manual
2" Daystar spring spacer lift - 265/75R16 BFG's fitted
Custom front bumper with hitch mount, sliders, engine skid.