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

Liechtenstein is approximately 160 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 196,344% larger than Liechtenstein. Meanwhile, the population of Liechtenstein is ~39,711 people (2.0 million more people live in New Mexico).
Tip: This to-scale comparison of Liechtenstein vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.