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The advent of gravitational wave (GW) and multi-messenger astronomy hasstimulated the research on the formation mechanisms of binary black holes(BBHs) observed by LIGO/Virgo. In literature, the progenitors of these BBHscould be stellar-origin black holes (sBHs) or primordial black holes (PBHs). Inthis paper we calculate the Stochastic Gravitational-Wave Background (SGWB)from BBHs, covering the astrophysical and primordial scenarios separately,together with the one from binary neutron stars (BNSs). Our results indicatethat PBHs contribute a stronger SGWB than that from sBHs, and the total SGWBfrom both BBHs and BNSs has a high possibility to be detected by the futureobserving runs of LIGO/Virgo and LISA. On the other hand, the SGWB from BBHsand BNSs also contributes an additional source of confusion noise to LISA'stotal noise curve, and then weakens LISA's detection abilities. For instance,the detection of massive black hole binary (MBHB) coalescences is one of thekey missions of LISA, and the largest detectable redshift of MBHB mergers canbe significantly reduced.

Stochastic Gravitational-Wave Background from Binary Black Holes and Binary Neutron Stars and Implications for LISA