This is the 17882nd most frequent Polish word.
łódzkiem
"Łódzkiem" refers to something related to the Łódź Voivodeship, a region in central Poland.
The word 'łódzkiem' is used as a locative form referring to the geographical region around Łódź.
Moja babcia mieszka w łódzkiem, w małym miasteczku niedaleko Łodzi.
My grandmother lives in the Lodz region, in a small town near Łódź.
Here, 'łódzkiem' is actively used to indicate location by describing a region and suggesting exploration within it.
Będąc w łódzkiem, warto odwiedzić Park Krajobrazowy Wzniesień Łódzkich.
While in the Lodz region, it's worth visiting the Landscape Park of the Łódź Uplands.
In this case, 'Łódzkie' is used nominatively to directly name the region as a subject in the sentence.