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Fungrim entry: 65cfe5

lcm ⁣(a,b)ab\operatorname{lcm}\!\left(a, b\right) \mid a b
Assumptions:aZandbZand(a0andb0)a \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, \left(a \ne 0 \,\mathbin{\operatorname{and}}\, b \ne 0\right)
TeX:
\operatorname{lcm}\!\left(a, b\right) \mid a b

a \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, \left(a \ne 0 \,\mathbin{\operatorname{and}}\, b \ne 0\right)
Definitions:
Fungrim symbol Notation Short description
LCMlcm ⁣(a,b)\operatorname{lcm}\!\left(a, b\right) Least common multiple
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("65cfe5"),
    Formula(Divides(LCM(a, b), Mul(a, b))),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ), And(Unequal(a, 0), Unequal(b, 0)))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-11-11 15:50:15.016492 UTC