Well, I can't give you the dimensions right now as I've already shipped that one, and I don't have the LC+ smoke unit on hand right now.
You can kinda' see roughly the dimensions from the picture, as I recall, it's right around 1" wide, 1.2" long, and roughly 1.2" tall.
The smoke unit we discussed was probably the full sized MTH unit, it's quite a bit larger than the LC+ model. The MTH unit is my preferred choice as I get the best results with it, but it doesn't fit into many small steamers, the above Consolidation is a perfect example.