The Rapture topic is far more complex than most understand. There is more than one. There is one for the wicked and one for the righteous. They are both contingent upon the state of things just before Our Lord returns, therefore, the following verses may or may not apply.
24 And the time cometh speedily that the righteous must be led up as calves of the stall, and the Holy One of Israel must reign in dominion, and might, and power, and great glory.
25 And he gathereth his children from the four quarters of the earth; and he numbereth his sheep, and they know him; and there shall be one fold and one shepherd; and he shall feed his sheep, and in him they shall find pasture.
27 And now behold, I, Nephi, say unto you that all these things must come according to the flesh. (1 Nephi 22:24-25, 27)
16 Then they that feared the Lord spake often one to another, and the Lord hearkened and heard; and a book of remembrance was written before him for them that feared the Lord, and that thought upon his name.
17 And they shall be mine, saith the Lord of Hosts, in that day when I make up my jewels; and I will spare them as a man spareth his own son that serveth him.
18 Then shall ye return and discern between the righteous and the wicked, between him that serveth God and him that serveth him not. (3 Nephi 24:16-18; Malachi 3:16-18)
25 And may the Lord bless you, and keep your garments spotless, that ye may at last be brought to sit down with Abraham, Isaac, and Jacob, and the holy prophets who have been ever since the world began, having your garments spotless even as their garments are spotless, in the kingdom of heaven to go no more out.” (Alma 7:25)
36 And this I know, because the Lord hath said he dwelleth not in unholy temples, but in the hearts of the righteous doth he dwell; yea, and he has also said that the righteous shall sit down in his kingdom, to go no more out; but their garments should be made white through the blood of the Lamb. (Alma 34:36)