LCA for H1B is a form that contains wages and other conditions related to the employment which is posted for a few days and then approved by US DOL. LCA is sometimes confused with the labor certification (PERM) process for GC, which involves advertising for filling the position by an American worker. See here:
https://www.murthy.com/2010/11/05/immigration-basics-labor-condition-application-for-h1b-petitions/
Canadian LMIA and US Labor certification (PERM) are both labor market tests whereas LCA for H1B is mainly attestations by the employer about the job that is posted publicly.