To find the Lowest Common Multiple (LCM) of 4 and 6, we can use the method of finding the prime factorization of each number:
- The prime factorization of 4 is \(2^2\).
- The prime factorization of 6 is \(2^1 \times 3^1\).
Next, we take the highest power of each prime that appears in the factorizations:
- For the prime number 2, the highest power is \(2^2\).
- For the prime number 3, the highest power is \(3^1\).
Now, we multiply these together to find the LCM:
\[ LCM = 2^2 \times 3^1 = 4 \times 3 = 12 \]
Thus, the LCM of 4 and 6 is \( \boxed{12} \).