last out something—
1. exist or continue for a period of time:
- Why join this mad adventure of the Bolsheviks, this government that would not last out a week?
2. be enough for a period of time:
- There was plenty of grass and water to last out the fall. It was fire the ranchers feared.
outlast something—last or exist longer than smth. else:
- These bikes are extremely well made and will outlast our competitors models.