Magic Numbers

2000: 269 votes in Florida (0.0003%)
1876: 445 votes in South Carolina (0.0053%)
1884: 575 votes in New York (0.0057%)
1916: 1,888 votes in California (0.0102%)
1976: 9,246 votes in Ohio and Hawaii (0.0133%)
1960: 11,874 votes in Hawaii, New Mexico, Nevada, Illinois, and Missouri (0.0173%)
2020: 32,507 votes in Arizona, Georgia, Wisconsin, and Nebraska-02 (0.0205%)
2020: 38,260 votes in Arizona, Georgia, Wisconsin, and Nevada (0.0242%)*
2016: 38,875 votes in Pennsylvania, Michigan, and Wisconsin (0.0284%)
2004: 57,787 votes in Iowa, New Mexico, and Colorado (0.0473%)
1948: 29,294 votes in Illinois, Ohio, and California (0.0600%)
1888: 7,187 votes in New York (0.0631%)
1880: 7,014 votes in Oregon, Connecticut, New Hampshire, and Indiana (0.0761%)
1836: 1,288 votes in Rhode Island, Louisiana, Connecticut, Mississippi, and Arkansas (0.0857%)
1844: 2,554 votes in New York (0.0945%)
1848: 3,198 votes in Delaware, Georgia, and New Jersey (0.1110%)
1896: 18,602 votes in Kentucky, California, Oregon, Delaware, West Virginia, and Indiana (0.1332%)
2012: 214,735 votes in Florida, Ohio, Virginia, and New Hampshire (0.1664%)
1968: 135,284 votes in Alaska, Delaware, Nevada, Vermont, Missouri, Wisconsin, New Jersey, and Ohio (0.1848%)
1892: 25,270 votes in California, Delaware, Wisconsin, Indiana, New Jersey, and Illinois (0.2094%)
1992: 284,702 votes in New Hampshire, Montana, Nevada, Georgia, Delaware, Hawaii, Kentucky, Colorado, New Jersey, Louisiana, Ohio, and Tennessee (0.2726%)
2008: 388,916 votes in North Carolina, Indiana, New Hampshire, Iowa, Virginia, Florida, and Ohio (0.2962%)
1840: 8,174 votes in Pennsylvania, Maine, New Jersey, and New York (0.3388%)
1868: 27,122 votes in California, Nevada, Connecticut, Arkansas, Alabama, Nebraska, Indiana, and Pennsylvania (0.4740%)
1900: 74,730 votes in Utah, Delaware, Wyoming, Nebraska, Washington, Kansas, Indiana, and Ohio (0.5339%)
1908: 83,960 votes in Maryland, Missouri, Delaware, Montana, Wyoming, Indiana, Ohio, and Iowa (0.5639%)
1996: 575,515 votes in Nevada, Kentucky, Arizona, New Mexico, Tennessee, New Hampshire, Oregon, Iowa, Missouri, Ohio, and Florida (0.5978%)
1988: 549,196 votes in Vermont, South Dakota, Montana, New Mexico, Delaware, North Dakota, Wyoming, Alaska, Maryland, Connecticut, Missouri, Illinois, Pennsylvania, Colorado, and California (0.5996%)
1944: 297,917 votes in Nevada, Idaho, New Hampshire, New Mexico, Michigan, Maryland, Oregon, New Jersey, Missouri, Minnesota, Pennsylvania, Massachusetts, and Illinois (0.6210%)
1980: 723,587 votes in Massachusetts, Tennessee, Arkansas, Delaware, Mississippi, Vermont, South Carolina, Alabama, Maine, Kentucky, North Carolina, New Mexico, Louisiana, Wisconsin, Connecticut, Missouri, New York, Michigan, and Pennsylvania (0.8364%)
1940: 462,621 votes in Wyoming, Nevada, Delaware, New Hampshire, Idaho, New Mexico, Wisconsin, Minnesota, Connecticut, New Jersey, Missouri, Illinois, Ohio, and New York (0.9271%)
1852: 31,733 votes in Delaware, North Carolina, Rhode Island, Louisiana, Iowa, Connecticut, Maryland, New Jersey, Missouri, Ohio, and Pennsylvania (1.0043%)
1856: 44,510 votes in Illinois, New Jersey, Indiana, and California (1.0986%)

* For 2020, I used two different figures; the second is if we use 'apparent electoral vote' and discount Nebraska's apportionment of electoral votes by Congressional District. Proportionally, Trump lost Nebraska-02 by 6.50%, and Nevada by 2.39%.

A switch of 21,461 votes in Arizona, Georgia, and Wisconsin (or 0.0136% of the overall electorate) would have resulted in a 269-269 tie, whereupon the election would have gone to the House of Representatives, where Republicans controlled a majority (27) of the state delegations.

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