Leire is from the Basque place name — referring to the iconic Monastery of San Salvador de Leyre in Navarre, Spain. Leire in Basque tradition — the Monastery of San Salvador de Leyre (Leire in Basque/Euskara) is one of the most-iconic religious sites in the Basque Country/Navarre region; founded c. Leire Ibáñez — Basque journalist. Leire Loyola — Basque-American figure. Princess Leire — modern Basque heritage naming.
and medieval Spanish architecture.
Leire does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Leire reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.