6. 14,15 LCM

To find the least common multiple (LCM) of 14 and 15, first, we can break them down into their prime factors: 14 = 2 × 7 and 15 = 3 × 5. The LCM can be calculated by taking the highest power of each prime that appears in either factorization. Hence, we multiply 2, 3, 5, and 7 together: LCM = 2¹ × 3¹ × 5¹ × 7¹ = 210. So, the LCM of 14 and 15 is 210! If you're working on LCM problems, remember that it's all about finding common multiples—like big event planners looking for the best day for everyone to meet! One common mistake is forgetting to consider all unique prime factors or miscalculating their multiplicative contributions. Always double-check that you're using the highest powers correctly to ensure you’ve found the true LCM.