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 n⩾r2+r, then Ln⩾u0rr+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 m⩽n/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 -