LCM of 5 and 6
The least common multiple of 5 and 6 is 30 — the smallest positive number into which both 5 and 6 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 30.
5 and 6 share no common factor greater than 1, so their multiples first coincide only after a full 5 × 6 sweep: the LCM is the plain product 30. The number lines advance out of step — 5 every 5, 6 every 6 — and nothing shortens the wait. Because GCF(5, 6) = 1, the identity LCM × GCF = a × b reads 30 × 1 = 30, and the common multiples march outward at 30, 60, 90, and beyond.
| # | Common multiple |
|---|---|
| 1 | 30 |
| 2 | 60 |
| 3 | 90 |
| 4 | 120 |
| 5 | 150 |
| 6 | 180 |
| 7 | 210 |
| 8 | 240 |
| 9 | 270 |
| 10 | 300 |
| 11 | 330 |
| 12 | 360 |
Frequently asked questions
What is the LCM of 5 and 6?
The least common multiple of 5 and 6 is 30. The multiples of 5 begin 5, 10, 15, 20, … and the multiples of 6 begin 6, 12, 18, …, and 30 is the first value both lists share. Formula check: (5 × 6) ÷ GCF(5, 6) = 30 ÷ 1 = 30.
How do you find the LCM of 5 and 6?
Compare prime factorizations: 5 = 5 and 6 = 2 × 3. No prime is shared, so every prime enters at full power and the product is the LCM: 30. The shortcut through the GCF lands on the same value: (5 × 6) ÷ 1 = 30.
What is the GCF of 5 and 6?
1. The factorizations 5 and 2 × 3 share no prime, so 1 is the greatest common factor. The companion identity holds anyway: GCF × LCM = 5 × 6, or 1 × 30 = 30.
What are the common multiples of 5 and 6?
Exactly the multiples of the LCM: 30, 60, 90, 120, 150, 180, and onward without end. The table above lists the first twelve; every later one is another 30 steps out. These are the numbers into which both 5 and 6 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.