The matrix having the e-powerleast common multiple [x_i,x_j]~e of xi and xj as its i,j-entry is called the e-powerleast common multiple (LCM) matrix, denoted by ([x_i,x_j]~e).

• 第i 行j 列元素由xi 和xj 的最小公倍数的e次幂[x_i；x_j]~e 构成的n ×n矩阵([x_i；x_j]~e)；称为定义在S 上的e次幂LCM矩阵.