Licentious is demonstrating behavior that is considered immoral, illegal, and disregarding rules of a typical society; often with a sexual connotation: “Many politicians have been charged with licentious conduct in the recent years and courts have castigated them for their immoral and lewd overtures to women.”
Lust means to have a strong desire for something: “Lust for materialistic gains compels many people to indulge in nefarious and immoral activities.”