LCM of 7 and 14
The least common multiple of 7 and 14 is 14 — the smallest positive number into which both 7 and 14 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 14.
14 is already a multiple of 7 — 7 divides it exactly (7 × 2 = 14) — so the smaller number never needs to climb past it: the LCM is 14 itself, and every multiple of 14 is automatically a common multiple. The two skip-count lines meet at once and re-meet every 14 steps: 14, 28, 42, and onward. This is why the LCM collapses to the larger number whenever the smaller divides the larger; the GCF here is 7, and the pairing identity LCM × GCF = a × b confirms it: 14 × 7 = 98.
| # | Common multiple |
|---|---|
| 1 | 14 |
| 2 | 28 |
| 3 | 42 |
| 4 | 56 |
| 5 | 70 |
| 6 | 84 |
| 7 | 98 |
| 8 | 112 |
| 9 | 126 |
| 10 | 140 |
| 11 | 154 |
| 12 | 168 |
Frequently asked questions
What is the LCM of 7 and 14?
14. Since 14 is already a multiple of 7 (7 × 2 = 14), the two multiple lists meet right there — 14 is the first number both divide evenly. The formula agrees: (7 × 14) ÷ GCF(7, 14) = 98 ÷ 7 = 14.
How do you find the LCM of 7 and 14?
Check divisibility first: when the smaller number divides the larger, the larger number is the LCM. Here 7 divides 14 (7 × 2 = 14), so nothing else is needed. Prime factorizations confirm it: 7 = 7 and 14 = 2 × 7, and carrying every prime at its highest power gives 2 × 7 = 14.
What is the GCF of 7 and 14?
7. The largest number dividing both. The identity GCF × LCM = 7 × 14 checks it against this page: 7 × 14 = 98. The same GCF reduces fractions built on 7 and 14, while 14 is the common denominator that needs no reducing.
What are the common multiples of 7 and 14?
Exactly the multiples of the LCM: 14, 28, 42, 56, 70, 84, and onward without end. The table above lists the first twelve; every later one is another 14 steps out. These are the numbers into which both 7 and 14 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.