New Mexico is about 14 times bigger than New Hampshire.

New Hampshire is approximately 23,227 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 1,253% larger than New Hampshire. Meanwhile, the population of New Hampshire is ~1.3 million people (742,709 more people live in New Mexico).
Tip: This to-scale comparison of New Hampshire vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.