Properly updating composer dependencies

I'm currently using Laravel 5.1.11, but looks like a feature I need is needed from 5.1.14. I haven't used composer for too long, but is there a proper way I should go about upgrading? And are there any caveats I should watch out for in general?

Both my composer.json and composer.lock file have Laravel at 5.1.11 explicitly. Would I increment those to 5.1.14 and then run composer install?

via Chebli Mohamed