On the distribution of the $\lcm$ of $k$-tuples and related problems

Abstract

We study the distribution of the least common multiple of positive integers in N ∩ [1 , x ] and related problems. We refine some results of Hilberdink and T´oth (2016). We also give a partial result toward a conjecture of Hilberdink, Luca, and T´oth (2020).