It won't get you to the moon, but you can squeeze out a little more distance by arranging them corner to corner.
Corner to corner with their hinge opened to 180°
Exactly. We can also win a tiny bit of the distance by assuming the Moon in the perigee, where the distance to the Moon is about 363000 km. I also assume that these distances are measured between the centers, so we can perhaps subtract twice the Earth radius (about 2*6400 km).
Call that tip to tip efficiency ;)
* https://www.youtube.com/watch?v=vmwYxLaaQ5s (reference - which really fits this whole thread)
We must either increase the production rate of T480-size thinkpads by around 9x or get Lenovo to release at least one special edition extreme widescreen thinkpad specialised for lunar round trips