The "X" in XAMPP stands for Cross-Platform, while "L" in LAMP stand for Linux. If your installing XAMPP on a Linux system then its basically the same as a LAMP server, except that XAMPP also includes perl. The benefit of XAMPP is that it can be installed on different platforms (I'm running it on Windows 7).
Install Lamp and not xampp and get the benefits of automatic updates and package management.
I also seem to recall the security was less tighter in xampp as well. Others will correct me if my memory fails here.
If you believe everything you read, you better not read. ~ Japanese Proverb
If you don't read the newspaper, you're uninformed. If you read the newspaper, you're mis-informed. - Mark Twain
As mentioned in the other responses there are good reasons to use XAMPP and LAMP configurations.
The XAMPP install is supposed to be portable and can be started and stoped easily when required. It also has different security settings and come ready configured with extra tools. However it's not goos to use it for public web servers only for development and testing.
The LAMP system includes the same basic compnonent (Apache, MySQL and PHP) can be more difficult to configure. I can be more secure, easier to update and can be used for public webservers.