Is that a good thing? Anyway, it can be done by Exiftool.
On the other hand, you may only need to remove it from files sent from Lightroom - eg put online. In that case, look at the export dialog box and the Metadata section. You'd choose Copyright Only.
At the bottom of the Export dialog, there should be options about what "metadata" you want included.
That said, ExifTool will remove some or all the EXIF data as you desire.
Thx for the info