The thousands digit of a five-digit number which is divisible by 37 and 173 is 3. What is the hundreds digit of this number?<spanclass=′latex−bold′>a)</span> 0<spanclass=′latex−bold′>b)</span> 2<spanclass=′latex−bold′>c)</span> 4<spanclass=′latex−bold′>d)</span> 6<spanclass=′latex−bold′>e)</span> 8 modular arithmeticleast common multiple