LCM of 4 and 8
The least common multiple of 4 and 8 is 8 — the smallest positive number into which both 4 and 8 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 8.
8 is already a multiple of 4 — 4 divides it exactly (4 × 2 = 8) — so the smaller number never needs to climb past it: the LCM is 8 itself, and every multiple of 8 is automatically a common multiple. The two skip-count lines meet at once and re-meet every 8 steps: 8, 16, 24, and onward. This is why the LCM collapses to the larger number whenever the smaller divides the larger; the GCF here is 4, and the pairing identity LCM × GCF = a × b confirms it: 8 × 4 = 32.
| # | Common multiple |
|---|---|
| 1 | 8 |
| 2 | 16 |
| 3 | 24 |
| 4 | 32 |
| 5 | 40 |
| 6 | 48 |
| 7 | 56 |
| 8 | 64 |
| 9 | 72 |
| 10 | 80 |
| 11 | 88 |
| 12 | 96 |
Frequently asked questions
What is the LCM of 4 and 8?
8. Since 8 is already a multiple of 4 (4 × 2 = 8), the two multiple lists meet right there — 8 is the first number both divide evenly. The formula agrees: (4 × 8) ÷ GCF(4, 8) = 32 ÷ 4 = 8.
How do you find the LCM of 4 and 8?
Check divisibility first: when the smaller number divides the larger, the larger number is the LCM. Here 4 divides 8 (4 × 2 = 8), so nothing else is needed. Prime factorizations confirm it: 4 = 2² and 8 = 2³, and carrying every prime at its highest power gives 2³ = 8.
What is the GCF of 4 and 8?
4. The largest number dividing both. The identity GCF × LCM = 4 × 8 checks it against this page: 4 × 8 = 32. The same GCF reduces fractions built on 4 and 8, while 8 is the common denominator that needs no reducing.
What are the common multiples of 4 and 8?
Exactly the multiples of the LCM: 8, 16, 24, 32, 40, 48, and onward without end. The table above lists the first twelve; every later one is another 8 steps out. These are the numbers into which both 4 and 8 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.