Least common multiple — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Least common multiple — a number theory concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 8
1987 AMC 8 Problem 9 • 1989 AMC 8 Problem 22 • 2003 AMC 8 Problem 19 • 2004 AMC 8 Problem 19 • 2005 AMC 8 Problem 20 • 2008 AMC 8 Problem 20 • 2010 AMC 8 Problem 20 • 2012 AMC 8 Problem 15 • 2013 AMC 8 Problem 10 • 2013 AMC 8 Problem 16 • 2015 AMC 8 Problem 22 • 2016 AMC 8 Problem 20 • 2017 AMC 8 Problem 9 • 2017 AMC 8 Problem 12 • 2017 AMC 8 Problem 24 • 2018 AMC 8 Problem 21
AMC 10
2001 AMC 10 Problem 8 • 2004 AMC 10B Problem 21 • 2005 AMC 10A Problem 22 • 2010 AMC 10B Problem 25 • 2012 AMC 10A Problem 16 • 2013 AMC 10A Problem 17 • 2016 AMC 10A Problem 25 • 2017 AMC 10A Problem 16 • 2018 AMC 10B Problem 21 • 2018 AMC 10B Problem 23 • 2019 AMC 10B Problem 7 • 2020 AMC 10A Problem 9 • 2020 AMC 10B Problem 15 • 2022 AMC 10A Problem 7 • 2022 AMC 10A Problem 19
AMC 12
1951 AMC 12 Problem 37 • 1959 AMC 12 Problem 42 • 1960 AMC 12 Problem 34 • 1978 AMC 12 Problem 27 • 1981 AMC 12 Problem 7 • 1993 AMC 12 Problem 18 • 2002 AMC 12B Problem 21 • 2010 AMC 12B Problem 9 • 2010 AMC 12B Problem 21 • 2011 AMC 12B Problem 5 • 2014 AMC 12B Problem 10 • 2016 AMC 12A Problem 22 • 2016 AMC 12B Problem 24 • 2017 AMC 12A Problem 12 • 2019 AMC 12B Problem 5 • 2020 AMC 12A Problem 21 • 2021 AMC 12A Fall Problem 8 • 2022 AMC 12A Problem 4 • 2022 AMC 12A Problem 23 • 2023 AMC 12B Problem 24