LINQ transform Dictionary<key,value> to Dictionary<value,key>

I'm having a low-brainwave day... Does anyone know of a quick & elegant way to transform a Dictionary so that the key becomes the value and vice-versa?

Example:

var originalDictionary = new Dictionary<int, string>() {
    {1, "One"}, {2, "Two"}, {3, "Three"}
};

becomes

var newDictionary = new Dictionary<string, int>();
// contents:  
// { 
//    {"One", 1}, {"Two", 2}, {"Three", 3} 
// };