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Least Common Multiple Matrix


Let S={x_1,...,x_n} be a set of n distinct positive integers. Then the matrix [S]_n having the least common multiple LCM(x_i,x_j) of x_i and x_j as its i,jth entry is called the least common multiple matrix on S.


See also

Bourque-Ligh Conjecture

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References

Hong, S. "On the Bourque-Ligh Conjecture of Least Common Multiple Matrices." J. Algebra 218, 216-228, 1999.

Referenced on Wolfram|Alpha

Least Common Multiple Matrix

Cite this as:

Weisstein, Eric W. "Least Common Multiple Matrix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LeastCommonMultipleMatrix.html

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