I can't speak with regards to book comparisons, but I do know that Tolkien and Lewis were acquainted and influenced each other.
You will enjoy the books very much. They are not as "epic" as LOTR -- more like The Hobbit or Tolkien's little jewels Farmer Giles of Ham or Smith of Wooton Major. But the worldview is similar, expressed differently but similar. As others have observed, Lewis and Tolkien were good friends and read and discussed each others' work.