In J.R.R. Tolkien’s The Hobbit, what is the name of the mountain where Smaug lives?

In J.R.R. Tolkien’s The Hobbit, the mountain where Smaug lives is the Lonely Mountain.

The Lonely Mountain, also called Erebor, is the lost kingdom of the Dwarves. Smaug attacks the realm during the reign of King Thrór, drives the Dwarves away, and takes possession of their treasure. Thorin Oakenshield later leads a company to reclaim the mountain, with Bilbo Baggins serving as burglar and scout.

The mountain is in the north-east of Middle-earth, near Dale and Lake-town. Its location gives the story several connected settings: the ruined human city of Dale, the settlement on Long Lake, and the secret entrance that Bilbo uses. Readers sometimes confuse Erebor with Mount Doom, which is the volcanic site associated with the One Ring in Mordor. The name “Lonely Mountain” describes the landmark, while Erebor is its Sindarin name and the name commonly used for its Dwarven kingdom.