When u park your car and noticed oil right between your rear
tires, then its most likely the differential cover is leaking
differential oil. This is an easy fix and should not take
any special tool. Before you start, make sure you have a
set of Allan wrench along with some silicones and differential
oil kit.
Procedures:
The best way to attach this task it to jack the car up on the
rear driver side with tire chocks in the front tires. Once
the car is jacked up, then u should put in a jack stand for
safety.



After you jack up your car, you have to loosen the mufflers.
The mufflers will interfere with the differential. After
you uninstall the muffles, you need a 12 mm Allan wrench to
loose two horizontal bolts. Before those two bolts loosen,
make sure you put a hydraulic jack right below the differential
to support it when those two cross bolts are loosen. See
pictures below.


After you loosen the two bolts from above pictures, the picture
below demonstrate two cross bolts are loosen. The second
bolt you need to attach would be the picture below (right).
This bolt stabilized the different to the frame. Once the
vertical bolt comes off, the whole different will be loosen and
you can slowly lower the differential.


Here is another picture of the vertical bolt. However,
before you start unbolting the differential cover, you should
drain the differential first. Here is a tutorial on
how to
change your differential oil.


This is how the differential would looks like when the vertical
and horizontal bolts are loosen. The whole differential
will just hanging on the axles and drive shaft along with they
hydraulic jack support. From there you should have enough
room to loosen the differential cover. The picture on the
right show the different vent.


There are 6 bolts holding the cover. Once they are loosen,
you can use a razor blade to clean out the old silicones.
When its all done, you can re-install everything back with fresh
and clean silicones. Lexus does not have a gasket for this
repair. However, if you want, you can make one from a
gasket paper. Make sure you re-fill the differential oil.
See above link.


After the oil is filled, then u can tighten the Filler Plug and
then you done.