Prime factors of 8 are 2 x 2 x 2 Prime factors of 12 are 2 x 2 x 3 LCM of 8 and 12 is 2 x 2 x 2 x 3 = 24
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24
72 is the second-smallest number with 12 factors. Its divisors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The smallest number with 12 factors is 60. Its divisors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
It is: 12
10, which has the factors 1,2,5 and 10. If the trivial pair 1 and the number itself are disallowed, the answer is 12 with factors 2,3,4 and 6.
9 and 12 can both go into multiples of their least common multiple, which is 36. Therefore, 36 is the smallest number that both 9 and 12 can evenly divide into.