We know that lcm(1,...n) is approximately $e^n$ and and also we know that $gcd(2^a-1, 2^b-1)=2^{gcd(a,b)}-1$.
I wonder if there exists an upperbound/lowerbound/approximation for $lcm(2^1-1, 2^2-1,...,2^n-1)$.
Do we know any bound on $lcm(2^1-1, 2^2-1,...,2^n-1)$?
Amir
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