1. **State the problem:** Find the Least Common Multiple (LCM) of 2, 6, and 30. 2. **Recall the formula and rules:** The LCM of a set of numbers is the smallest positive integer that is divisible by all of them. 3. **Prime factorization:** - 2 = $2$ - 6 = $2 \times 3$ - 30 = $2 \times 3 \times 5$ 4. **Identify the highest powers of all prime factors:** - For 2: highest power is $2^1$ - For 3: highest power is $3^1$ - For 5: highest power is $5^1$ 5. **Calculate the LCM by multiplying these highest powers:** $$\text{LCM} = 2^1 \times 3^1 \times 5^1 = 2 \times 3 \times 5 = 30$$ 6. **Final answer:** The Least Common Multiple of 2, 6, and 30 is **30**.