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Even the Lancet study's figure is by no means the highest:
The British polling firm Opinion Research Business (ORB) asked 1,720 Iraqi adults last summer if they had lost family members by violence since 2003; 16% had lost one, and 5% two. Using the 2005 census total of 4,050,597 households in Iraq, this suggests 1,220,580 deaths since the invasion. Accounting for a standard margin of error, ORB says, "We believe the range is a minimum of 733,158 to a maximum of 1,446,063."
This is compared with the death toll during the Saddam years:
Estimates of the Iraqi deaths caused by Saddam's regime amount to a maximum of one million over a 35-year period (100,000 Kurds in the Anfal campaign in the 1980s; 400,000 in the war against Iran; 100,000 Shias in the suppressed uprising of 1991; and an unknown number executed in his prisons and torture chambers). Averaged over his time in power, the annual rate does not exceed 29,000.