Same issue for me.
Logmein Client Version: 4.1.7343 (4.1.0.7343) keeps crashing (SIG ABORT)
because of my Mac being at 10.11.6 ...
Can't use it anymore ... :(
Crashed Thread: 0 TLMIApplicationMain Dispatch queue: com.apple.main-thread
Exception Type: EXC_CRASH (SIGABRT)
Exception Codes: 0x0000000000000000, 0x0000000000000000
Exception Note: EXC_CORPSE_NOTIFY
Application Specific Information:
abort() called
application requires at least OS X version 10.12.0 (10.12), but is being run on 10.11.6 ( 10.11.6/15G22010), and so is exiting