LCM of 5 and 7
The least common multiple of 5 and 7 is 35 — the smallest positive number into which both 5 and 7 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 35.
5 and 7 share no common factor greater than 1, so their multiples first coincide only after a full 5 × 7 sweep: the LCM is the plain product 35. The number lines advance out of step — 5 every 5, 7 every 7 — and nothing shortens the wait. Because GCF(5, 7) = 1, the identity LCM × GCF = a × b reads 35 × 1 = 35, and the common multiples march outward at 35, 70, 105, and beyond.
| # | Common multiple |
|---|---|
| 1 | 35 |
| 2 | 70 |
| 3 | 105 |
| 4 | 140 |
| 5 | 175 |
| 6 | 210 |
| 7 | 245 |
| 8 | 280 |
| 9 | 315 |
| 10 | 350 |
| 11 | 385 |
| 12 | 420 |
Frequently asked questions
What is the LCM of 5 and 7?
The least common multiple of 5 and 7 is 35. The multiples of 5 begin 5, 10, 15, 20, … and the multiples of 7 begin 7, 14, 21, …, and 35 is the first value both lists share. Formula check: (5 × 7) ÷ GCF(5, 7) = 35 ÷ 1 = 35.
How do you find the LCM of 5 and 7?
Compare prime factorizations: 5 = 5 and 7 = 7. No prime is shared, so every prime enters at full power and the product is the LCM: 35. The shortcut through the GCF lands on the same value: (5 × 7) ÷ 1 = 35.
What is the GCF of 5 and 7?
1. The factorizations 5 and 7 share no prime, so 1 is the greatest common factor. The companion identity holds anyway: GCF × LCM = 5 × 7, or 1 × 35 = 35.
What are the common multiples of 5 and 7?
Exactly the multiples of the LCM: 35, 70, 105, 140, 175, 210, and onward without end. The table above lists the first twelve; every later one is another 35 steps out. These are the numbers into which both 5 and 7 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.