You want the LED Module, not the MLS unit. I replaced the LED in my Dark Apprentice v4, and that's what I used. For any saber that doesn't have a removable emitter, the LED module is the only choice.
A (non-MLS) LED module has a diameter of 1". This is the same as the blade diameter. Because there's no removable emitter, the LED module has to be inserted down from the blade end of the hilt, so the whole thing has to be 1" diameter. If you can take the blade out, and shake the hilt to get the LED out, this is the one you want.
For a saber with a removable emitter, the blade portion of the emitter is 1", and the hilt's inner diameter is 1 1/8", which is the outer diameter of the main body of the MLS unit. The MLS unit's flange is 1 1/4", and it gets held in place by the emitter, not the blade. It's bigger than the blade opening, so if you can't get it out without removing the emitter, this is the one.
LED Module (non-MLS). 1" diameter:
MLS Unit. 1 1/8" diameter with 1 1/4" diameter flange: