# Online multiplicative Order calculator

Compute the multiplicative order of $a$ modulo $n$. $$a^{?} = 1 \pmod{n}$$
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## What is the multiplicative order of a modulo n?

For a given coprime positive integers $a$ and $n$ the multiplicative order of $a$ modulo $n$ is the smallest positive integer $k \neq 0$ verifying : $$a^k = 1 \pmod{n}$$ And in this case we denote $k=\mathrm{ord}_n(a)$.
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