I am trying to prove that the matrix $(lcm (i,j))_{1\le i, j \le n}$ is invertible. I know the result for calculating the determinant of this kind of lcm matrix on factor-closed set which deduces this conclusion, but I am looking for some simpler approach. Can you give me some ideas?
2026-02-23 15:46:38.1771861598
Invertible least common multiple matrix
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