Error 10061 signifies that the host machine actively refused the connection.
Firewall on the host computer
Please make sure the LogMeIn software is not being blocked by a firewall on the host computer. You will need to allow LogMeIn to make connections in the firewall rules.
You may encounter connection issues if your proxy is not configure to work with LogMeIn. Please see the related document below for more information on setting LogMeIn up with a proxy.