For any positive integers n and k, let L(n , k) be the least common multiple of the k
consecutive integers n, n + 1, . . . , (n + k - 1).
Show that for any integer b, there exist integers n and k such that L(n , k) > b L(n + 1; k)
consecutive integers n, n + 1, . . . , (n + k - 1).
Show that for any integer b, there exist integers n and k such that L(n , k) > b L(n + 1; k)
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