We report the analysis of a highly magnetised neutron star in the Large Magellanic Cloud ( LMC ) . The high mass X-ray binary pulsar Swift J045106.8-694803 has been observed with Swift X-ray telescope ( XRT ) in 2008 , The Rossi X-ray Timing Explorer ( RXTE ) in 2011 and the X-ray Multi-Mirror Mission - Newton ( XMM-Newton ) in 2012 . The change in spin period over these four years indicates a spin-up rate of -5.01 \pm 0.06 s/yr , amongst the highest observed for an accreting pulsar . This spin-up rate can be accounted for using Ghosh and Lamb ’ s ( 1979 ) accretion theory assuming it has a magnetic field of ( 1.2 \pm ^ { 0.2 } _ { 0.7 } ) \times 10 14 Gauss . This is over the quantum critical field value . There are very few accreting pulsars with such high surface magnetic fields and this is the first of which to be discovered in the LMC . The large spin-up rate is consistent with Swift Burst Alert Telescope ( BAT ) observations which show that Swift J045106.8-694803 has had a consistently high X-ray luminosity for at least five years . Optical spectra have been used to classify the optical counterpart of Swift J045106.8-694803 as a B0-1 III-V star and a possible orbital period of 21.631 \pm 0.005 days has been found from MACHO optical photometry .