Fungrim home page

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:aZ  and  bZa \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z}
\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}
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:
    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

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

2021-03-15 19:12:00.328586 UTC