We present a sensitive 870um survey of the Extended Chandra Deep Field South (ECDFS) combining 310hr of observing time with the Large Apex BOlometer Camera (LABOCA) on the APEX telescope. The LABOCA ECDFS Submillimetre Survey (LESS) covers the full 30'x30' field size of the ECDFS and has a uniform noise level of {sigma}_870um_~1.2mJy/beam. LESS is thus the largest contiguous deep submillimeter survey undertaken to date. The noise properties of our map show clear evidence that we are beginning to be affected by confusion noise. We present a catalog of 126 submillimeter galaxies (SMGs) detected with a significance level above 3.7{sigma}, at which level we expect five false detections given our map area of 1260arcmin^2^.