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There is no exact formula.

To find the sequence of LCMs see http://oeis.org/A003418/list.

LCM(1, 2, 3, ..., n) tends to en as n tends to infinity.

Equivalently,

ln[LCM(1, 2, 3, ..., n)] tends to n

or

ln[LCM(1, 2, 3, ..., n)] / n tends to 1 as n tends to infinity.

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Q: What is the formula to find the least common multiple of first n natural numbers?
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