On property of least common multiple to be a $D$-magic number

V L Gavrikov

On property of least common multiple to be a $D$-magic number

Number Theory 2018-06-26 v1

Authors: V L Gavrikov

Abstract

Least common multiple ( $lcm$ ) has been shown to posses the property of $D$ -magic number, that is, its least significant digit $0$ does not change when the number is transferred into all other numbering systems with smaller bases. The number $lcm + 1$ preserves this property as well.

Keywords

least common multiple d-magic number numbering systems least significant digit integer bases

Cite

@article{arxiv.1806.09264,
  title  = {On property of least common multiple to be a $D$-magic number},
  author = {V L Gavrikov},
  journal= {arXiv preprint arXiv:1806.09264},
  year   = {2018}
}

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4 pages

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