A team of physicists with NASA's Jet Propulsion Laboratory at the California Institute of Technology has calculated more precisely how much faster time passes on the moon than on the Earth. The paper describing the math they used to make the calculations and their results has been posted to the arXiv preprint server.
Okay, TIL: it passes faster due to a shallower gravity well, rather than my expectation that it would pass slower due to its orbital velocity around the earth.
For astronauts in LEO, time passes slower because of the latter.