I also want to know the answer to this as I had transferred to a new laptop and realized it did not have any of the credentials transferred. I had believe logmein had them stored under my profile online. Which would have been easiest for me as I am not always close to my own machine.
Welcome to the Community and thanks for posting!
To provide the highest level of security, LogMeIn does not have access to the credentials for the computers in your account. The credentials are stored locally and encrypted on the machine that you use when you select the option to store credentials. It is not possible to transfer stored credentials between different computers.