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9 and 10 are but 11 is prime
The LCM of two numbers is the product of the numbers if one of the numbers is a prime. Since 11 is a prime, the LCM of 10 and 11 is 110 (10 x 11). If neither number had been a prime, the LCM would have been the product of all the prime factors of the numbers to their greatest power.
110. LCM is "Least common multiple," meaning the smallest number divisible by each of the arguments. 110/11=10, 110/10=11, 110/22=5 implies 10, 11, and 22 all divide 110. 110 is the smallest such number because its prime factorization is 2*5*11. 2 and 5 are necessary because 10 must divide the answer; likewise 11 because 11 must divide the answer (remember 11 is prime).
11
11 is the answer.