[Enlil-An]

It recently came to my attention that the birth narratives of Jesus in the gospels of Matthew and Luke are irreconcilably contradictary. According to Matthew, the Savior and his parents are from Bethlehem, stay there for two years after Jesus' birth, fly to Egypt to escape King Herod, and arrive at Nazareth for the first time once Herod is dead. In Luke, Mary and Joseph are from Nazareth, travel to Bethlehem for the census, stay there only a month during her purification according to Levitical law, and then return back home to Nazareth. There is no flight to Egypt, no wise men following a star, no death decree by Herod.

After reading these narratives closely, it becomes obvious that Matthew and Luke are telling two totally different, contradicting stories. Both of them can't be true. The prophet, Nephi, prophesied that Jesus' mother would be from Nazareth but only says that Jesus would be born in "the land of Jerusalem". There are no other places in the standard works that specify where Jesus was born or how he got there.

My question is, has anyone else here noticed this and how do we reconcile it with the Church's position that the Bible is the word of God (originally written by inspired men) and that the only errors in it are mistranlations and interpolations here and there?