what is the lcm of 8 and 12

The LCM (Least Common Multiple) of 8 and 12 is 24. 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 8 and 12 is to list out the multiples of each number and find the smallest common multiple that is divisible by both 8 and 12. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, and so on, while the multiples of 12 are 12, 24, 36, 48, 60, 72, 84, and so on. The smallest common multiple that is divisible by both 8 and 12 is 24, which is the LCM of 8 and 12. Another way to find the LCM of 8 and 12 is to use prime factorization. The prime factorization of 8 is 2 x 2 x 2, while the prime factorization of 12 is 2 x 2 x 3. To find the LCM, we take the product of the highest powers of all the prime factors, which gives us 2 x 2 x 2 x 3 = 24. The division method is another way to find the LCM of 8 and 12. We divide both numbers by their common factors until we get the smallest quotient that is not divisible by any common factor. The LCM is the product of the divisors and the quotient, which gives us 2 x 2 x 2 x 3 = 24.