Number theory · Least common multiple · Powers of two · Consecutive integers · Prime exponents
A collection of \(2020\) consecutive positive integers is split into two subsets of \(1010\) numbers each. Can the least common multiple of all the numbers in the first subset be equal to the least common multiple of all the numbers in the second subset?
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Regional Competition (Okruzno takmicenje) 2020, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source