{
  "id": "1806.09264",
  "version": "v1",
  "published": "2018-06-25T03:04:47.000Z",
  "updated": "2018-06-25T03:04:47.000Z",
  "title": "On property of least common multiple to be a $D$-magic number",
  "authors": [
    "V L Gavrikov"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-25T03:04:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Axx"
    ],
    "keywords": [
      "common multiple",
      "magic number",
      "smaller bases",
      "significant digit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}