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A zero has a multiplicity, which refers to the number of times that its associated factor appears in the polynomial. For instance, the quadratic (x + 3)(x  2) has the zeroes x = 3 and x = 2, each occuring once.
To find either the Least Common Multiple (LCM) or Greatest Common Factor (GCF) of two numbers, you always start out the same way: you find the prime factorizations of the two numbers. Then you put the factors into a nice neat grid of rows and columns, and compare and contrast and take what you need.