LHC is not the first collider in the world, so results from previous experiments are used to calibrate LHC.

Yes, this seems like a much less wasteful, and possibly more fruitful approach. Rather than running identical experiments, one can perform experiments that test different but overlapping aspects of the underlying theory. I suspect this kind of "replication" is done all the time in physics, which has led to a robust knowledge base in spite of less than ideal rigor within any individual experiment.