Nyora kupfuurira kweiyi ndima - Algirdas akatora nzvimbo dzakakosha dzeSmolensk neBryansk kumadokero kweMoscow principality. Kunyange hazvo hukama hwake nemadzishe makuru eMoscow hwakanga hune hushamwari (hwakaratidzwa nemichato yake kumadzimai maviri echiOrthodox echiRussia), akakomba Moscow muna 1368 na1370 panguva yeLithuanian-Muscovite Hondo (1368-1372)
. Chimwe chinhu chinokosha chakaitwa naAlgirdas kwaiva kukunda kwake vaTatar muhondo yeBlue Waters paSouthern Bug muna 1362, iyo yakaguma nekuparara kwevaKipchaks uye yakamanikidza khan kuti agadzire dzimbahwe rake muCrimea.