number theory2022 AMC2022 AMC 10a2022 AMC 12AAMC 10AMC 12AMC
Problem Statement
The least common multiple of a positive integer n and 18 is 180, and the greatest common divisor of n and 45 is 15. What is the sum of the digits of n?<spanclass=′latex−bold′>(A)</span>3<spanclass=′latex−bold′>(B)</span>6<spanclass=′latex−bold′>(C)</span>8<spanclass=′latex−bold′>(D)</span>9<spanclass=′latex−bold′>(E)</span>12