Note on the lower bound of least common multiple

DOI10.1155/2013/218125zbMath1267.11004OpenAlexW2063840320WikidataQ58915591 ScholiaQ58915591MaRDI QIDQ1949436

Shea-Ming Oon

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/218125

zbMATH Keywords

lower bound of least common multiplesequence of positive integers in arithmetic progression

Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (5)

The least common multiple of consecutive terms in a cubic progression ⋮ Uniform lower bound for the least common multiple of a polynomial sequence ⋮ New lower bounds for the least common multiple of polynomial sequences ⋮ Nontrivial upper bounds for the least common multiple of an arithmetic progression ⋮ Nontrivial effective lower bounds for the least common multiple of some quadratic sequences

Cites Work

• Lower bounds for the least common multiple of finite arithmetic progressions
• Nontrivial lower bounds for the least common multiple of some finite sequences of integers
• The primes contain arbitrarily long arithmetic progressions
• Nontrivial lower bounds for the least common multiple of some sequences of integers.
• The least common multiple of consecutive arithmetic progression terms
• THE LEAST COMMON MULTIPLE OF CONSECUTIVE TERMS IN A QUADRATIC PROGRESSION
• Improvements of lower bounds for the least common multiple of finite arithmetic progressions
• Further improvements of lower bounds for the least common multiples of arithmetic progressions
• New results on the least common multiple of consecutive integers
• On Chebyshev-Type Inequalities for Primes
• On the Product of the Primes
• On the Number of Primes Less Than or Equal x

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