I doubt it will be an LCT. Landing Craft, Tanks were 152 feet long and 29 feet wide.
Far more likely it would be an LCVP. Landing Craft, Vehicle, Personnel were a mere 36 feet 3" long, and 10 feet, 10" wide. Could carry a platoon of 36 men, or a vehicle up to 6,000 pounds (Jeeps and such).
Or one of the versions of the LCM. Landing Craft Mechanized. These were used from early days (Norway, Dieppe) onward. Came in a variety of configurations, capable of holding various loadouts. LCM-1 and LCM-2 could carry a 13 ton tank or a lot of troops, They were 45 feet long and 14 feet wide. LCM-3 was a bit longer (50 feet) and could carry a 30,000 pound vehicle.
Since Rubicon now have worked on LVTs (which were 26 feet long and 10 feet, 8" wide, next step up from that would be an LCVP I would think. About the same width, nearly twice the length.