We present the results of K-band observations of the M31 GC
system obtained using the Wide Field Camera on the UK
Infrared Telescope. We discuss the properties of these GCs
including new estimates of their structural parameters and
stellar collision rates. These GCs are known to be a rich
source of Low Mass X-ray Binaries (LMXBs) and using these
data we explore the properties of the GCs which host these
systems. We show that LMXBs are located predominantly in
GCs with relatively high masses and stellar collision
rates. We show a linear relationship between the formation
of LMXBs and stellar collision rate. This is consistent
with the formation of LXMBs through dynamical interactions
with little direct dependence on the neutron star retention
fraction or cluster mass.