This post from Remoc should, hopefully, help you...

Click on the Java SE Downloads link above...

The file you want is Java Runtime Environment (JRE) 6 Update 4
(If you encounter problems with the latest iteration of Java, you may need to download and install an older version. There is further info regarding this problem within these Gnutella Forums... Have a good search !)

Download it by Saving the file to a suitable folder...

Run the installation from your saved copy of the file...
Do NOT download and 'auto' install the file 'on-line'.
Be certain to install Java in the same partition as your LimeWire installation folder.

Let us know if it worked, OK ?

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