# Problem 533: Minimum values of the Carmichael function
The Carmichael function λ(n) is defined as the smallest positive integer
m such that am = 1 modulo n for all integers a coprime with n. For
example λ(8) = 2 and λ(240) = 4. Define L(n) as the smallest positive
integer m such that λ(k) ≥ n for all k ≥ m. For example, L(6) = 241 and
L(100) = 20 174 525 281. Find L(20 000 000). Give the last 9 digits of
your answer.