%0 Journal Article %T Asymptotic behavior of the least common multiple of consecutive reducible quadratic progression terms %A Guoyou Qian %A Shaofang Hong %J Mathematics %D 2014 %I arXiv %X Let $l$ and $m$ be two integers with $l>m\ge 0$, and let $f(x)$ be the product of two linear polynomials with integer coefficients. In this paper, we show that $\log {\rm lcm}_{mn