400 grit Sandpaper followed by finer to match the finish. Sand in straight lines following the factory finish. I did this with a LM Mini that I got and you can't tell there was a logo ever there.
Steel wool might be an option. I use the extra fine type for fading black oxide. You may need at least a medium grade though.
You could also use a bit of polishing compound at the same time to speed it up... If you can't get something like Autosol, anything that you can use to clean a ss sink will work... even tooth paste, but that will be sticky... and minty... it does work though.Btw, it's been laser'd on, so it won't scrape off.
Dremel at low speed with a sanding disc. Follow by 800grit sand paper by hand. Works fast and easiest.