AMC 10 Step by Step
2022 AMC 10AProblem 7P1-10~2 minPrint

The least common multiple of a positive integer nn and 1818 is 180180 , and the greatest common divisor of nn and 4545 is 1515 . What is the sum of the digits of nn ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.