What is Labor Condition Application?

Legal Definition
The Labor Condition Application (LCA) is an application filed by prospective employers on behalf of workers applying for work authorization for the non-immigrant statuses H-1B, H-1B1 (a variant of H-1B for people from Singapore and Chile) and E-3 (a variant of H-1B for workers from Australia). The application is submitted to and needs to be approved by the United States Department of Labor Employment and Training Administration (DOLETA)'s Office of Foreign Labor Certification (OFLC). The form used to submit the application is ETA Form 9035.
-- Wikipedia