Call Logmein and report them.
https://secure.logmeinrescue.com/Customer/ReportAbuse.aspx
The number they gave you will help track them down, and have their account investigated/canceled.
As you did not allow them in your computer, you are probably safe. But you should check your computer with adwcleaner, malwarebytes, and your antivirus:
If you suspect malicious activity or malware (in any version of windows) use these tools from bleepingcomputer (they are relatively quick): http://www.bleepingcomputer.com/download/adwcleaner/ (the
other two (2) suggested tools are on the bottom of that page), like rkill (1), jrt [junkware removal tool] (2), and adwcleaner (3) (run all of them, in that sequence)(i put them on the desktop, and run them from there)(as administrator (right click))(if they
get hung (10 min) for any reason, close the running tool, go to the next tool, after trying them all, if any are unsuccessful, re-run them again (in sequence) in safe mode; also run Malwarebytes, while in safe mode during this process (if its definitions
are updated), before adwcleaner. Uninstall adwcleaner, after running it and the system has rebooted, by opening the program, and choosing the uninstall button, or its quarantined files may set off your antivirus. The other tools from bleepingcomputer can
be safely deleted, after running them; they are updated often, so the old versions are not necessary. After running the tools, if they found anything, you need to reset all your browsers to default, then check for any unfamiliar plugin/addins
within the browser. then run malwarebytes again.
in a lot of instances, you have to remove the malicious activity one layer at a time, so you may not want to delete the tools after the first run.
Run Malwarebytes (Free):
https://www.malwarebytes.org/mwb-download/
uncheck the box at the end of the install for trial, or convert to free at the end of the trial.
Malwarebyes is a good addition to your antivirus software. Make sure in Malwarebytes the 'Scan for rootkits' box is checked-> Settings-Detection and Protection. Free means manual, so, you have to open it, and run it occasionally.