2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118030We present a theorem which generalizes the classical Euler's theorem on congruencies: if $(a,m)=1$ then $a^ ϕ(m) \equiv 1 (mod m)$ for the case when $a$ and $m$ are not relatively primes.7 pages, 1 flow chartGeneral MathematicsA Generalization of Euler's Theorem on Congruenciestext