New Hampshire is about 14 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while New Hampshire is approximately 23,227 sq km, making New Hampshire 7.39% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (742,709 fewer people live in New Hampshire).
Tip: This to-scale comparison of New Mexico vs. New Hampshire uses the Mercator projection, which distorts the size of regions near the poles.