Liberal Democratic Party (Japan); LDP
Refers specifically to the Japanese Liberal Democratic Party. Often abbreviated as 自民党.
See also: 自民党
The Liberal Democratic Party is one of the major political parties in Japan.
The president of the Liberal Democratic Party was elected prime minister.
Free Democratic Party (Germany); FDP
Refers to the German Free Democratic Party. In Japanese contexts, this sense is less common than the Japanese LDP.
Germany's Free Democratic Party is participating in the coalition government.
自由民主党 is the full, formal official name of the party, while 自民党 is the common everyday abbreviation used in news and conversation.
自由民主党 (LDP) and 公明党 are both Japanese political parties frequently mentioned together in news, but they are entirely different, separate organizations.