LCM of 8 and 16
The least common multiple of 8 and 16 is 16 — the smallest positive number into which both 8 and 16 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 16.
16 is already a multiple of 8 — 8 divides it exactly (8 × 2 = 16) — so the smaller number never needs to climb past it: the LCM is 16 itself, and every multiple of 16 is automatically a common multiple. The two skip-count lines meet at once and re-meet every 16 steps: 16, 32, 48, and onward. This is why the LCM collapses to the larger number whenever the smaller divides the larger; the GCF here is 8, and the pairing identity LCM × GCF = a × b confirms it: 16 × 8 = 128.
| # | Common multiple |
|---|---|
| 1 | 16 |
| 2 | 32 |
| 3 | 48 |
| 4 | 64 |
| 5 | 80 |
| 6 | 96 |
| 7 | 112 |
| 8 | 128 |
| 9 | 144 |
| 10 | 160 |
| 11 | 176 |
| 12 | 192 |
Frequently asked questions
What is the LCM of 8 and 16?
16. Since 16 is already a multiple of 8 (8 × 2 = 16), the two multiple lists meet right there — 16 is the first number both divide evenly. The formula agrees: (8 × 16) ÷ GCF(8, 16) = 128 ÷ 8 = 16.
How do you find the LCM of 8 and 16?
Check divisibility first: when the smaller number divides the larger, the larger number is the LCM. Here 8 divides 16 (8 × 2 = 16), so nothing else is needed. Prime factorizations confirm it: 8 = 2³ and 16 = 2⁴, and carrying every prime at its highest power gives 2⁴ = 16.
What is the GCF of 8 and 16?
8. The largest number dividing both. The identity GCF × LCM = 8 × 16 checks it against this page: 8 × 16 = 128. The same GCF reduces fractions built on 8 and 16, while 16 is the common denominator that needs no reducing.
What are the common multiples of 8 and 16?
Exactly the multiples of the LCM: 16, 32, 48, 64, 80, 96, and onward without end. The table above lists the first twelve; every later one is another 16 steps out. These are the numbers into which both 8 and 16 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.