As always, I recommend that you do some intense listening on the LMA and reach your own conclusions about what sounds good to you. I've done my fair share of asking questions on ts.com about what sounds good and more times than not, I find that subjectivity causes these questions to be less useful than if I were to do the sampling myself.
That said, and respecting those that love the V2/V3 sound, I'm one that doesn't care for the V2/V3 sound. I especially don't think these preamps match up well with the Neumann km-series. These are personal opinions based on what I like though, so take this with a grain of salt. In my opinion, the beauty of the km-series is the really tight and concise low-end. They also sound great in the higher frequencies, but low-end detail, IMHO, is what sets the Neumann mics apart. Unfortunately, in my mind, the low end is also easily the weakest aspect of the V2/V3 sound...in fact with Schoeps mics, the V2/V3 can make the low-end nearly break up (trust me, it's not the mics all you Schoeps-bashers! LOL). So, I think that the combination of a V2/V3 with KM140 just doesn't work well together.
Therefore, it shouldn't be surprising that my personal favorite pre-amps for the KM-140s provided a good compliment to the tight low-end. While I can't necessarily explain the technical reasons why, I've always had good luck with transformer-based preamps and how these work well with the Neumanns. Of those that I've owned, this included the Aerco MP-2, Oade m148 and although I never ran it with the Neumanns, the Oade m248. Not sure if all transformer-based preamps are similar sounding to these, but that's where I'd recommend starting, if I were you.