at the earliest; at the soonest
Used to indicate the earliest possible time something can happen. Often paired with 遅くとも for contrast.
Antonyms: 遅くとも
At the earliest, the results will be out by next Monday.
遅くとも金曜日までに、早くとも水曜日までに提出してください。
Please submit it by Friday at the latest, and by Wednesday at the earliest.