You didn't ask me, but I'll give you a couple pennies worth of my thoughts. The three main factors I'd look at are voltage sensitivity, impedance, and phase angle.
I think voltage sensitivity is pretty well understood, X dB for 2.83V input. Impedance relates to that, as 2.83V into an 8 ohm load is 1W, and into a 4 ohm load is 2W given that the speaker is drawing more current. Phase angle is also a factor, not because it makes a speaker more or less power hungry, but because a reactive load will cause the amplifier to have to dissipate more heat than a purely resistive load.
Given its relatively low voltage sensitivity, low impedance in the meat of the audio band, the LS50 isn't the easiest speaker to drive on the block. Electrical phase isn't too bad for the most part, but there is a spot around 150Hz where it approaches the - 45 degree mark where the impedance is relatively low (135Hz, 5.3 ohms, -41 degrees per Stereophiles reckoning), making for another difficult combo for an amp.
All that said, one should look a little closer at the distortion graph from Soundstage before going too nuts. The input there was 10.6 volts, or ~14W into 8 ohms, and ~28W into 4 ohms. Given the amount of distortion already present, one wonders just how much more juice you would want to actually feed them in the first place.