Light Weight Construction Tires

[Jay11]

Just learned that there are light weight construction tires, specifically a C class rating. I am in tall weeds with this. Much as I like all terrain tire look, I like efficient gas mileage better and need to make a confirmation before pulling the trigger. My 3 consideration factors are...I would like to stick with an AT tire, light weight construction class and priced up to $130 each, definitely below $140. Are the tires in the links below rated in the light weights category since they have SL Standard Load rating and weigh 37.7 & 37.9lb respectively? If not, does anyone have a favorite tire link that closely falls in the light weight class?
Michelin LTX Trail All Terrain 265/70R18 116T Light Truck Tire

Falken Wildpeak AT3WA All Terrain 265/70R18 116T Light Truck Tire

 

[pjtoledo]

if you're looking for overall weight reduction check out the weight of 18" wheels vs smaller sizes.
a reduction in sidewall height doesn't always cancel out the increased wheel diameter.

if you're going for looks, do it.