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The set of prime factors of integer y has one more element than the set of prime factors of 84. What is the least possible value of y ?
A. 168 B. 210 C. 252 D. 420 E. 462
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A set is considered to have distinct elements.
84 = 2^2 * 3* 7 Set of prime factors of 84 = {2, 3, 7}
Set of prime factors of y will have 4 distinct prime factors. For smallest value of y, the 4 distinct prime factors will be smallest - 2, 3, 5, 7 y = 2*3*5*7 = 210
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