Panasonic LX100 has a 13.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor and features Venus Engine processor. On the other hand, Olympus 1 has a 12.0MP 1/1.7" (7.44 x 5.58 mm ) sized BSI-CMOS sensor and features TruePic VI processor.
Below you can see the LX100 and 1 sensor size comparison.
As seen above, Panasonic LX100 has a 5.4x Larger sensor area than Olympus 1. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.