If the integer m is a multiple of both 10 and 12, then all of the following must be factors of m EXCEPTA. 15B. 12C. 10D. 8E. 6

The integer m is a multiple of both 10 and 12. This means that m is a multiple of the least common multiple (LCM) of 10 and 12.

Step 1: Find the LCM of 10 and 12. The prime factorization of 10 is 25 and of 12 is 2^23. The LCM is found by multiplying the highest power of all prime numbers that appear in the factorization of either number. So, the LCM of 10 and 12 is 2^235 = 60.

Step 2: Check which of the options are not factors of 60. A. 15 is a factor of 60. B. 12 is a factor of 60. C. 10 is a factor of 60. D. 8 is not a factor of 60. E. 6 is a factor of 60.

So, the answer is D. 8.