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 of these problems are used with official legal permission of the Mathematical Association of America (MAA).
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
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