1. The problem is to find the Least Common Multiple (LCM) of given numbers. 2. The LCM of two or more integers is the smallest positive integer that is divisible by all the numbers. 3. To find LCM, first find the prime factorization of each number. 4. Then, take the highest powers of all primes that appear in the factorizations. 5. Multiply these prime powers together to get the LCM. For example, for numbers 12 and 18: - Prime factorization of 12 is $2^2 \times 3$ - Prime factorization of 18 is $2 \times 3^2$ - Take the highest powers: $2^2$ and $3^2$ - Multiply: $2^2 \times 3^2 = 4 \times 9 = 36$ So, the LCM of 12 and 18 is 36.