Note on the Lower Bound of Least Common Multiple

Shea-Ming Oon

Abstract and Applied Analysis, 2013, vol. 2013, 1-4

Abstract:

Consider a sequence of positive integers in arithmetic progression with . Denote the least common multiple of by . We show that if , then , and we obtain optimum result on in some cases for such estimate. Besides, for quadratic sequences , we also show that the least common multiple is at least when , which sharpens a recent result of Farhi.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:218125

DOI: 10.1155/2013/218125

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