Pedzisa mutsara unotevera: Algirdas akatora nzvimbo dzinokosha dzeSmolensk neBryansk kumadokero kweMoscow principality. Kunyange zvazvo ukama hwake nemadzishe makuru eMoscow hwakanga huri hushamwari (hwakaratidzwa nemichato yake kumadzimai maviri echiOrthodox echiRussia), akakomba Moscow muna 1368 na1370 panguva yeHondo yeRussian War.
Hondo yeLithuania neMoscow (1368 kusvika 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.