Generally speaking, the typical case LEDs can be driven at
up to 30mA, with good heatsinking via leads that are short
and soldered to a large copper plane. Even so, it should
have still lasted longer than this unless the case is fairly
old and continuously powered. A more conservative estimate
for a typical superbright LED is 20mA. However if there
are more than one LED creating some visual effect, it might
require driving the LED to the same brightness level as the
others so it *matches* the others' output instead of being
brighter or dimmer, which would hopefully be accomplished by
the drop-in replacement LED, but not necessarily.
That seems pretty high, often the forward drop is closer to
about 3.2 - 3.6V. Often the resistor used is 470 Ohm on 12V
rail or 68-120 Ohm if powered by 5V rail.
To the OP - Take out the LED and describe the circuit
*around* it. Probably a resistor going to a molex 4-pin
plug? If so, follow the circuit board traces if on a board,
and tell us the color stripes on the LED. However, "odds"
are that if you picked a typical general ultrabright blue
LED, it would be a drop in replacement.
This is unless the problem is not the LED, it might be
damaged wiring. In particular on some cases the wiring is
so high gauge (fragile) that the wire breaks off, typically
right at the point where it is soldered to the LED.
Do you have a soldering iron? It would certainly make the
repair more reliable. To start out with a plan to replace
it, it would help us to know what skills and related tools
you have as it's not necessarily likely you can just buy an
exact replacement - though you might try contacting Aspire
as you never know, they might rise to the occasion and send
you the assembly.
Do you *require* blue? You could (within some limits, red
would probably require changing the resistor as it has a
lower forward voltage drop than most) pick a different color
like purple or aqua. Here's one place that has a blue and
unlike Digikey and many electronics houses, might just drop
it in a first class envelop for minimal shipping cost if you
asked them nicely (they used to do this, YMMV if they still
will), but otherwise it'll be a crazy overhead practically
anywhere to pay $6+ for shipping a < $1 LED.
http://www.bgmicro.com/index.asp?PageAction=VIEWPROD&ProdID=11757
In that case it could end up cheaper to just take the LED
out of something like this,
http://www.svc.com/lzled3blu.html
and I link SVC specifically because they will ship small
items at a USPS, First Class Mail rate is about $3 in the
US. There might be other even cheaper blue LEDs on SVC's
site, I didn't look for very long.