TY - JOUR A2 - Koskela, Pekka AU - Oon, Shea-Ming PY - 2013 DA - 2013/02/19 TI - Note on the Lower Bound of Least Common Multiple SP - 218125 VL - 2013 AB - Consider a sequence of positive integers in arithmetic progression uk=u0+kr with (u0,r)=1. Denote the least common multiple of u0,,un by Ln. We show that if nr2+r, then Lnu0rr+1r+1, and we obtain optimum result on n in some cases for such estimate. Besides, for quadratic sequences m2+c,m+12+c,,n2+c, we also show that the least common multiple is at least 2n when mn/2, which sharpens a recent result of Farhi. SN - 1085-3375 UR - https://doi.org/10.1155/2013/218125 DO - 10.1155/2013/218125 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -