Least Common Multiple

The least common multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers.

To find the LCM using prime factorization, first factor each number into its prime factors. Then, for each distinct prime factor, take the highest power that appears in any of the factorizations and multiply these together.

The LCM of 4 and 6 is 12.

The LCM of 9 and 15 is 45.

The LCM of 18 and 27 is 54.

The LCM of 20 and 30 is 60.

The LCM of 10 and 25 is 50.

The relationship is given by the formula: LCM(a, b) = (a * b) / GCD(a, b). This means that the product of the two numbers is equal to the product of their LCM and GCD.

No, the LCM of two numbers is always greater than or equal to the larger of the two numbers.

To find the LCM of three or more numbers, find the LCM of the first two numbers, then use that result to find the LCM with the next number, and continue this process.