Are you using the online installer? The online installation can sometimes have corruption problems
Try it this way:
First of all, install Java. Download the JRE
offline installer & remove any other Java versions installed (via Add/Remove Programs) before you install the latest Java.
Java SE Downloads
After Java's installed, install LW. When you click to download the LW installer, cancel the dialog box which pops up...now use the option to download the
offline installer.
Lime Wire » Download LimeWire
If you still have problems with the install, use a different browser to download.
If you still can't install, use the 'other' installer.
Installing using the 'other' installer