It was narrated that Ibn 'Abbas said: "The Messenger of Allah ate a shoulder, then he wiped his hands on a Mish that was underneath him, then he got up for prayer, and performed the prayer.
The Prophet Muhammad's example teaches us many lessons about how to live our lives according to Islamic teachings and values, such as being mindful of our hygiene and taking care of ourselves in order to be able to perform our prayers properly. We should also strive for excellence in all aspects of life, including when it comes to worshiping Allah through prayer.