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What is the value of integer x?

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What is the value of integer x?

(1) The lowest common multiple of x and 16 is 48.
(2) The greatest common factor of x and 16 is 4

have no idea why the answer is not E,cause
from (1) i have ...6->12->24
from (2) i have ...4->12->24
thanks for explanation;)

this question from Veritas prep:)

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