How did Brigham Young become the second president of the Church of Jesus Christ of Latter-day Saints?

Following the murder of Joseph Smith in June 1844, the leadership of the Church of Jesus Christ of Latter-day Saints fell to the Council of the Twelve Apostles, of which Brigham Young was the senior member.31

Although other individuals, such as Sidney Rigdon, attempted to claim leadership of the church, the majority of the members supported Young. After leading the migration of the Saints to the Rocky Mountains and selecting the site for Salt Lake City, Young returned to Winter Quarters and was formally sustained as the second president of the church in December 1847. Some factions, however, rejected his leadership, including a group that eventually formed the Reorganized Church of Jesus Christ of Latter Day Saints under the leadership of Joseph Smith, III.2134