On the mean value of the Smarandache LCM function SL(n)

Abstract For any positive integer n, let SL(n) denotes the least positive integer k such that L(k) ≡ 0 (mod n), where L(k) denotes the Least Common Multiple of all integers from 1 to k. The main purpose of this paper is to study the properties of the Smarandache LCM function SL(n), and give an asymptotic formula for its mean value