Louisiana is about 637 times bigger than District of Columbia.

District of Columbia is approximately 177 sq km, while Louisiana is approximately 112,825 sq km, making Louisiana 63,643% larger than District of Columbia. Meanwhile, the population of District of Columbia is ~601,723 people (3.9 million more people live in Louisiana).
Tip: This to-scale comparison of District of Columbia vs. Louisiana uses the Mercator projection, which distorts the size of regions near the poles.