The story of Lehi and his family arriving in the wilderness is followed by an account of them creating an altar and making an offering in 1 Nephi 2:7:
And it came to pass that he built an altar of stones, and made an offering unto the Lord, and gave thanks unto the Lord our God.
This is perfectly inline with Leviticus 31:1-17 which describes an offering of thanksgiving.
On two later occasions the Book of Mormon says that Lehi offered both sacrifice and burnt offerings:
1 Nephi 5:9
And it came to pass that they did rejoice exceedingly, and did offer sacrifice and burnt offerings unto the Lord; and they gave thanks unto the God of Israel.
1 Nephi 7:22
And it came to pass that we did come down unto the tent of our father. And after I and my brethren and all the house of Ishmael had come down unto the tent of my father, they did give thanks unto the Lord their God; and they did offer sacrifice and burnt offerings unto him.
These descriptions are perfectly inline with the sacrifice for sins in Leviticus 1:1-16 which is entirely appropriate after Laman and Lemuel attempt to kill Nephi on both occasions they return to Jerusalem.
How would Joseph Smith know the difference between sacrifice and offerings? How did he even get the order of the two correct?