Dryer Causing Oven to Lose Power?

Hi Everyone. I'm at my wits end and decided to reach out to see if anyone else has had this problem. *Here's my problem at the highest level:* Pressing the "Start" button on my dryer is no longer causing it to start. Instead, all I hear is a low hum from the dryer. Simultaneously, the power to my oven is also being cut for as long as the dryer start button is held down, and I also see a brief power interruption occur to an outlet in our living room. These dryer and the oven are each 220V, and each have their own 220V breakers located side by side in my breaker box. The outlet in the living room is part of one of the regular 110V breakers. I've tested the power outlet that the dryer is plugged into, and it indeed appears to be supplying 220V. I've also tested a different dryer on the same outlet and have seen the same results.