Sympatico,
The LS15 is a truly balanced circuit which, when used with other balanced gear, can give you common mode noise rejection benefits.
Do you have a CD player with a balanced XLR output, or amplifier with XLR in? If so, than you might consider running balanced cables.
A balanced cable has 3 identical conductors which terminate to the 3 pins you see on the XLR connector. PIN 1 is GROUND (same as the outer ring on an RCA plug), PIN 2 is the normal SIGNAL (same as the center pin on an RCA plug), and PIN 3 is a an INVERTED SIGNAL.
Many cables that are terminated with unbalanced RCA's have the necessary internal conductors to be reterminated with XLR's.