The Solution of Equation Involving the Euler Function

For any positive integer n,the Smarandache LCM function is defined as the smallest positive integer k such as n | [1,2,,k ],where[1,2,,k ]denotes the most common multiple of 1,2,,k.Euler's totient function is defined as the number of positive integers 1,2,3,,n-1 that are reciprocal prime to n.In this paper,using the elementary methods and classification discussion the solvability of SL(n) = φ(n) were studied.