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

Scientia MagnaVol. 2 Nbr. 2, June 2006

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Least common multiple

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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) [equivalent to] 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.

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