Fungrim home page

Fungrim entry: 9500d3

lcm ⁣(na,nb)=nlcm ⁣(a,b)\operatorname{lcm}\!\left(n a, n b\right) = \left|n\right| \operatorname{lcm}\!\left(a, b\right)
Assumptions:aZ  and  bZ  and  nZa \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; n \in \mathbb{Z}
\operatorname{lcm}\!\left(n a, n b\right) = \left|n\right| \operatorname{lcm}\!\left(a, b\right)

a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; n \in \mathbb{Z}
Fungrim symbol Notation Short description
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(LCM(Mul(n, a), Mul(n, b)), Mul(Abs(n), LCM(a, b)))),
    Variables(a, b, n),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ), Element(n, 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