To help muddy the water (no pun intended) a bit, the Army owned a very large number of landing craft, including LCM.
I've a certain amount of family history on how AUS was 'short' of either coxswains or "motor macs" when the Rhine crossing was put together. The USN personnel then seconded off to that task had to scrounge for uniforms, and then to cipher out the differences between the USN equipment they "knew" and the AUS craft they were "on" (and, our perpetual companion, Murphy insisted on having it work that way).
The Time-Life series on WWII has that same picture of a dragon wagon hauling an LCM on the smaller tank transporter (no wheel ramps) trailer, if my memory serves correctly. The picture shows either an LCV or LCVP next in line (I think). There's little "color" in the b&w image, it's under a low overcast sky. So, the color of the LC could be from a medium gray to a medium green.
That whole deal wound up classified, so that many of the participants either never talked about it, or did so obliquely--rather like the people who were in the Naval Shore Parties for Overlord.