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People recommend DIY amps and such which have way more power or to use speaker terminals.
That's because a lot of people talk out of their ignorant butts!
Facts are important when it comes to understanding headphone power requirements, so let's consider the facts relating to the LCD-2...
According to the specification published on Audez'e site the LCD-2 headphones have a 50 Ohm impedance and a 91 dB at 1 mW sensitivity.
According to the specification published on SPL's site the Phonitor amplifier has 360 mW into 30 Ohms.
360 mW into 30 Ohms has a voltage swing (supported by sufficient current) that translates into 216 mW into 50 Ohms.
Given the 91 dB at 1 mW rating of the LCD-2, then 216 mW translates into approximately 114 dB.
And now for reasonable supposition... if a user is listening at a typical 80 dB, then 114 dB gives 34 dB of headroom, which should be more than enough for almost anyone.
And now for enthusiastic extremism... if a user is headbanging at 95-100 dB they might conceivably require an occasional peak rock-concert level of 120 dB (which really is head-in-the-speakers loud), in which case an amplifier would have to deliver 1 Watt (i.e. 1000 mW), which on a 50 ohm load is 7.07 V RMS and a peak current of 200 mA.
This all assumes that the impedance curve is flat, however if it undulates then a little more reserve power might be required for some headbangers!
So, in conclusion, the Phonitor should provide more than sufficient volume for most people most of the time, but committed loud rock lovers might desire a touch more.