The same multiple as before

For a positive integer \(n\), we define \[G(n) = \mbox{lcm}(1,2,\ldots,n). \] For how many integers \(1 \leq k \leq 100\) is \(G(k) = G(k+1)?\)

Details and assumptions

You may use the fact that there are 25 primes less than 100.

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