LONDON, Jan 6 (Reuters) - British police said on Tuesday they had dropped an investigation into rape allegations against a lawmaker from Prime Minister David Cameron's Conservative Party because of a lack of evidence.

In December, Mark Pritchard, 48, who represents the Wrekin constituency in Shropshire, western England, was arrested after voluntarily attending a police station for questioning.

However, police said they had now ended their inquiries.

"A 48-year-old man who was arrested on Dec. 2 on suspicion of rape returned on bail today and he was advised that no further action would be taken due to insufficient evidence," a police spokeswoman said. (Reporting by William James; editing by Michael Holden)