Nyora kupfuurira kweiyi ndima - Algirdas akatora nzvimbo dzakakosha dzeSmolensk neBryansk kumadokero kweMoscow principality. Kunyange zvazvo ukama hwake nemadzishe makuru eMoscow hwakanga huri hushamwari (hwakaratidzwa nemichato yake kumadzimai maviri eOrthodox Russian), akakomba Moscow muna 1368 na1370 munguva yeLithuanian-Muscovite War (1368 - 1372). Chinhu chinokosha chakaitwa naAlgirdas kukunda kwake vaTatar muHondo yeBlue Waters
muSouthern Bug muna 1362, izvo zvakaguma nokuputsika kwevaKipchaks uye zvakamanikidza khan kuti agadzire dzimbahwe rake muCrimea.