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We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Lojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets. 1991 Mathematics Subject Classification: 32B10, 14C17. Key words and phrases: multiplicity of proper and improper intersection, exponent of regular separation.doi:10.4064/ap-69-3-287-299 fatcat:ut6h4gg75bg6zjm3pdv6dxxp6i