The LCM (Least Common Multiple) of 11 and 12 is 132. This means that 132 is the smallest positive integer that is divisible by both 11 and 12 with no remainder. There are different methods to find the LCM of two numbers, including prime factorization, division method, and listing the multiples. One way to find the LCM of 11 and 12 is to list the multiples of each number and find the smallest common multiple. The multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, and so on, while the multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, and so on. The smallest common multiple of 11 and 12 is 132, which is the LCM. Another way to find the LCM of 11 and 12 is to use prime factorization. The prime factorization of 11 is 11, and the prime factorization of 12 is 2 x 2 x 3. The LCM of 11 and 12 can be obtained by multiplying the highest powers of all the prime factors, which gives 2 x 2 x 3 x 11 = 132.