Probably the most inaccessible Lenin is at the appropriately named Southern Pole of Inaccessibility in the Antarctic. This is from the wikipedia account of the place with info on the Lenin statue there.
The southern pole of inaccessibility is far more remote and difficult to reach than the geographic South Pole. On 14 December 1958, the 3rd Soviet Antarctic Expedition for International Geophysical Year research work, led by Yevgeny Tolstikov, established the temporary Pole of Inaccessibility Station (Polyus Nedostupnosti) at . A second Russian team returned there in 1967. Today, a building still remains at this location, marked by a bust of Vladimir Lenin that faces towards Moscow, and protected as a historical site. Inside the building, there is a golden visitors' book for those who make it to the site to sign.
On 4 December 2006, Team N2i, consisting of Henry Cookson, Rupert Longsdon, Rory Sweet and Paul Landry, embarked on an expedition to be the first to reach the historic pole of inaccessibility location without direct mechanical assistance, using a combination of traditional man hauling and kite skiing. The team reached the old abandoned station on 20 January 2007, rediscovering the forgotten statue of Lenin left there by the Soviets some 48 years previously. The explorers were picked up from the spot by a plane from Vostok base to Progress Base and taken back to Cape Town on the Akademik Fyodorov, a Russian polar research vessel. The team found that only the bust on top of the building remained visible; the rest was buried under the snow.