24V?  It's not a blasted great lorry.  The yanks may call em 'trucks', but we don't.  Heathen!  Shouldn't be allowed to own a BMW........ 
 
   
 
If you just want to keep a maintenace charge running then you can't really do better than the CTEK range of chargers.  You can leave them permanently connected and they run in 'maintain mode', or bring a dead battery back to action in a few hours in 'charge mode'.  Had to use ours over the weekend on the E46 as it had been left for about 6 weeks.  Two hours on charge and it started.
Can't see your LED's as being the cause.  More likely lack of regular use or just plain old & dying battery - mind you, yours isn't that old is it?
My CTEK is an 8-stage charger in the 7000 Series, but all the models have been recently revised.  I got it on offer for about £70 I think.  
