Least common multiple: Specific values (formula 04.10.03.0003)

LCM

$Mathematica Notation$

Integer Functions

LCM[n₁,n₂,...,n_m]

Specific values

Specialized values

http://functions.wolfram.com/04.10.03.0003.01

Input Form

LCM[n, -n] == Abs[n]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["LCM", "[", RowBox[List["n", ",", RowBox[List["-", "n"]]]], "]"]], "\[Equal]", RowBox[List["Abs", "[", "n", "]"]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> lcm </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> n </mi> <mo> , </mo> <mrow> <mo> - </mo> <mi> n </mi> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mi> n </mi> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <lcm /> <ci> n </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> n </ci> </apply> </apply> <apply> <abs /> <ci> n </ci> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LCM", "[", RowBox[List["n_", ",", RowBox[List["-", "n_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Abs", "[", "n", "]"]]]]]]

Date Added to functions.wolfram.com (modification date)

2001-10-29