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Fungrim entry: 65cfe5

lcm⁡ ⁣(a,b)∣ab\operatorname{lcm}\!\left(a, b\right) \mid a b
Assumptions:a∈Z  and⁡  b∈Z  and⁡  (a≠0  and⁡  b≠0)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(NotEqual(a, 0), NotEqual(b, 0)))))

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2021-03-15 19:12:00.328586 UTC