Find the LCM of 6 and 8.

**The reasoning** The **LCM (Lowest Common Multiple)** is the smallest number that both numbers can divide into evenly. List the multiples of each: - Multiples of 6: 6, 12, 18, **24**, 30, 36... - Multiples of 8: 8, 16, **24**, 32, 40... The first number appearing in both lists is **24**. Alternatively, use prime factorization: - 6 = 2 × 3 - 8 = 2 × 2 × 2 = 2³ LCM = Take the **highest power** of each prime factor = 2³ × 3 = 8 × 3 = **24** **Why the wrong options tempt you** **A) 12** — This is a multiple of 6, but 8 doesn't divide 12 evenly (12 ÷ 8 = 1.5). Students confuse this with the LCM of 6 and 12. **C) 48** — This works (both 6 and 8 divide it), but it's not the *lowest*. It's actually 24 × 2. **D) 2** — This is the **HCF (Highest Common Factor)**, not the LCM! Don't mix them up. **Quick takeaway** LCM is where the multiples *first meet*; HCF is what they *both share* — never confuse the two!