Important to try and route your flights
LA - TAM -TAM -LA.
Those flights in S.A. are not likely to get more than .25 EQM if they are LAN operated, but TAM operated books into B which earns 100%.
Contrary, also, to TFD's reports, you can book this away from Cheapoair, which I would advise. I booked on COA and didn't have a ticket number within 6 hours, went to expedia and got one instantly... thanks 24 hour cancellation!