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Fungrim entry: 4d3127

gcd ⁣(a,b)lcm ⁣(a,b)=ab\gcd\!\left(a, b\right) \operatorname{lcm}\!\left(a, b\right) = \left|a b\right|
Assumptions:aZandbZa \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}
TeX:
\gcd\!\left(a, b\right) \operatorname{lcm}\!\left(a, b\right) = \left|a b\right|

a \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
GCDgcd ⁣(a,b)\gcd\!\left(a, b\right) Greatest common divisor
LCMlcm ⁣(a,b)\operatorname{lcm}\!\left(a, b\right) Least common multiple
Absz\left|z\right| Absolute value
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("4d3127"),
    Formula(Equal(Mul(GCD(a, b), LCM(a, b)), Abs(Mul(a, b)))),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ))))

Topics using this entry

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2019-11-11 15:50:15.016492 UTC