This is the only verse I can find that relates to this question:
45 He commenced, and again related the very same things which he had done at his first visit, without the least variation; which having done, he informed me of great judgments which were coming upon the earth, with great desolations by famine, sword, and pestilence; and that these grievous judgments would come on the earth in this generation. Having related these things, he again ascended as he had done before.
What we can gather from this is that the time period this will happen in will start with a Disease/Famine unlike anything the earth has yet seen and a war that is uncomparable to any other. With current medical and other sources we can gather that this could possibly begin in the 22nd or 23rd Century due to the rise of "Super Bugs" that are resistant to medicine. Again the answer to this is completely hypothetical and there is technically not one, we can only use the information given to us to make assumptions.
37 For behold, the day cometh that shall burn as an oven, and all the proud, yea, and all that do wickedly shall burn as stubble; for they that come shall burn them, saith the Lord of Hosts, that it shall leave them neither root nor branch.
This also just proof of what will happen. Possibly hinting at a nuclear war. My bet is the time period between the 22nd and 23rd century.
Source: I am LDS.
