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It added that Monson died at his home in Salt Lake City.
The next president was not immediately named, but the job is expected to go to next longest-tenured member of the church's governing Quorum of the Twelve Apostles, 93-year-old Russell M. Nelson, per church protocol, according to the Associated Press.
Monson, who spent 45 years as an apostle, was known for making personal visits to homes or hospital bedsides or taking time to write a letter or make a telephone call, the church said in a tribute on its website. His name forever will be linked to compassionate endeavors, service to others," it said.
Membership of the religion swelled to nearly 15.9 million during his tenure, with more than half outside the United States. He was viewed as a steady hand at a time when the church came under scrutiny during the 2008 and 2012 presidential campaigns of Mormon Mitt Romney.
"President Monson always seemed more interested in what we do with our religion rather than in what we believe," Armand Mauss, a retired professor of sociology and religious studies at Washington State University, told the AP.