Are you refering to http://www.logmain.com? if so the initial web connection to logmain is not https but http, if there is any hyperlink within the site that is https you cannot load it as you still need to initially connect to main http site.
Just lab this out using mpf and did work perfectly, have a look at attachment fw log highlighted in red, my source host not able to access site.
As for the logmain client install that uses https I believe CSC-SSM content security module can accomplish the block, there is discussion on CSC, ask the question there.
I'm actually refering to http://www.logmein.com, and you're right the initial connection is http which is not a problem. However I believe if you already have the client (and I may be wrong) the entire session is https...CSC-SSM probably will be able to do this...I'll give it a try using mpf and see if it works for the client.
We have configured the outside and inside Interface with official ipv6 adresses, set a default route on outside Interface to our router, we also have definied a rule , which also gets hits, to permit tcp from inside Interface to any6.
In Syslog I also se...