The LCM of 6 and 8 is 24. There are several methods to find the LCM of two numbers, including prime factorization, listing multiples, and division method. One way to find the LCM of 6 and 8 is to use prime factorization. The prime factorization of 6 is 2 × 3, and the prime factorization of 8 is 2 × 2 × 2. To find the LCM, we multiply the highest power of each prime factor together, which gives us 2 × 2 × 2 × 3 = 24. Therefore, the LCM of 6 and 8 is 24.