LCM of 6 and 8
The least common multiple of 6 and 8 is 24 — the smallest positive number into which both 6 and 8 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 24.
6 and 8 share the factor 2, so their first meeting point comes earlier than the raw product: the LCM is (6 × 8) ÷ 2 = 48 ÷ 2 = 24. Both numbers divide it exactly — 6 fits 4 times and 8 fits 3 times — and the pairing identity LCM × GCF = a × b holds again: 24 × 2 = 48. After 24, the lines re-synchronize for good, so the common multiples continue 48, 72, 96, and onward.
| # | Common multiple |
|---|---|
| 1 | 24 |
| 2 | 48 |
| 3 | 72 |
| 4 | 96 |
| 5 | 120 |
| 6 | 144 |
| 7 | 168 |
| 8 | 192 |
| 9 | 216 |
| 10 | 240 |
| 11 | 264 |
| 12 | 288 |
Frequently asked questions
What is the LCM of 6 and 8?
The least common multiple of 6 and 8 is 24. The multiples of 6 begin 6, 12, 18, 24, … and the multiples of 8 begin 8, 16, 24, …, and 24 is the first value both lists share. Formula check: (6 × 8) ÷ GCF(6, 8) = 48 ÷ 2 = 24.
How do you find the LCM of 6 and 8?
Compare prime factorizations: 6 = 2 × 3 and 8 = 2³. Carry every prime at its highest power into the answer: 2³ × 3 = 24. The shortcut through the GCF lands on the same value: (6 × 8) ÷ 2 = 24.
What is the GCF of 6 and 8?
2. The largest number dividing both. The identity GCF × LCM = 6 × 8 checks it against this page: 2 × 24 = 48. The same GCF reduces fractions built on 6 and 8, while 24 is the common denominator that needs no reducing.
What are the common multiples of 6 and 8?
Exactly the multiples of the LCM: 24, 48, 72, 96, 120, 144, and onward without end. The table above lists the first twelve; every later one is another 24 steps out. These are the numbers into which both 6 and 8 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.