Mathlean · Online math workspace

Multiplicative order calculator

Find the least positive exponent giving 1 modulo a modulus.

How to use this calculator

Edit MultiplicativeOrder(a,m). The order of 2 modulo 7 is 3.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

MultiplicativeOrder⁡(2,7)\operatorname{MultiplicativeOrder}\left(2,7\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

The base and modulus must be coprime for an order in the unit group.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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