Liechtenstein is about 1,964 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while Liechtenstein is approximately 160 sq km, making Liechtenstein 0.05% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (2.0 million fewer people live in Liechtenstein).
Tip: This to-scale comparison of New Mexico vs. Liechtenstein uses the Mercator projection, which distorts the size of regions near the poles.