I run LB/BB on both an Insignia and Asus tablet with an Atom z3740 processor and 1GB and 2GB RAM respectively. In order to use the program in LB you have to turn off the RAM cache completely and in BB its best to turn down the image quality turn off transactions also because of the size of the storage (32GB eMMC and 200GB microSD) image resources are kept to front boxes only. BB on the tablets isn't snappy butit is passable to mess around and game on a car ride or while waiting on an appointment
That is my absolute minimum specs for barebones usage.