Method for the producing of lithium complex soap lubricating greases or lithium-calcium complex soap lubricating greases comprising at least the following steps: - saponification of one or more dicarboxylic acids with one or two metal hydroxides as a solid according to one of the following three alternatives: (A1) saponification with lithium hydroxide and one or more dicarboxylic acids, or (A2) saponification with lithium hydroxide and calcium hydroxide and one or more dicarboxylic acids, or (A3) saponification with calcium hydroxide and one or more dicarboxylic acids, each in an aqueous environment comprising, with respect to the liquid phase, more than 80 wt.% of water with respect to all liquid feedstocks, to obtain one or more metal salts of the dicarboxylic acids, wherein both dicarboxyl groups of the dicarboxylic acids are substantially completely saponified; - bringing into contact with one or more liquid hydroxy fatty acids or hydroxy fatty acids liquefied by heating and dissolving the metal salt(s) in the liquid hydroxy fatty acid; - bringing into contact with base oil; - addition of further metal hydroxides, wherein according to alternative: (A1) lithium hydroxide or calcium hydroxide; (A2) lithium hydroxide and calcium hydroxide or lithium hydroxide only or calcium hydroxide only; or (A3) lithium hydroxide is added; for saponification with the at least one hydroxy fatty acid; - expulsion of water under heating; - heating to a final temperature; and - cooling down and addition of more base oil. - saponification of one or more dicarboxylic acids with one or two metal hydroxides as a solid according to one of the following three alternatives: (A1) saponification with lithium hydroxide and one or more dicarboxylic acids, or (A2) saponification with lithium hydroxide and calcium hydroxide and one or more dicarboxylic acids, or (A3) saponification with calcium hydroxide and one or more dicarboxylic acids, each in an aqueous environment comprising, with respect to the liquid phase, more than 80 wt.% of water with respect to all liquid feedstocks, to obtain one or more metal salts of the dicarboxylic acids, wherein both dicarboxyl groups of the dicarboxylic acids are substantially completely saponified; (A1) saponification with lithium hydroxide and one or more dicarboxylic acids, or (A2) saponification with lithium hydroxide and calcium hydroxide and one or more dicarboxylic acids, or (A3) saponification with calcium hydroxide and one or more dicarboxylic acids, each in an aqueous environment comprising, with respect to the liquid phase, more than 80 wt.% of water with respect to all liquid feedstocks, to obtain one or more metal salts of the dicarboxylic acids, wherein both dicarboxyl groups of the dicarboxylic acids are substantially completely saponified; - bringing into contact with one or more liquid hydroxy fatty acids or hydroxy fatty acids liquefied by heating and dissolving the metal salt(s) in the liquid hydroxy fatty acid; - bringing into contact with base oil; - addition of further metal hydroxides, wherein according to alternative: (A1) lithium hydroxide or calcium hydroxide; (A2) lithium hydroxide and calcium hydroxide or lithium hydroxide only or calcium hydroxide only; or (A3) lithium hydroxide is added; for saponification with the at least one hydroxy fatty acid; (A1) lithium hydroxide or calcium hydroxide; (A2) lithium hydroxide and calcium hydroxide or lithium hydroxide only or calcium hydroxide only; or (A3) lithium hydroxide is added; for saponification with the at least one hydroxy fatty acid; - expulsion of water under heating; - heating to a final temperature; and - cooling down and addition of more base oil. <EOS>