LCM of 25 and 40
The least common multiple of 25 and 40 is 200 — the smallest positive number into which both 25 and 40 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 200.
25 and 40 share the factor 5, so their first meeting point comes earlier than the raw product: the LCM is (25 × 40) ÷ 5 = 1000 ÷ 5 = 200. Both numbers divide it exactly — 25 fits 8 times and 40 fits 5 times — and the pairing identity LCM × GCF = a × b holds again: 200 × 5 = 1000. After 200, the lines re-synchronize for good, so the common multiples continue 400, 600, 800, and onward.
| # | Common multiple |
|---|---|
| 1 | 200 |
| 2 | 400 |
| 3 | 600 |
| 4 | 800 |
| 5 | 1000 |
| 6 | 1200 |
| 7 | 1400 |
| 8 | 1600 |
| 9 | 1800 |
| 10 | 2000 |
| 11 | 2200 |
| 12 | 2400 |
Frequently asked questions
What is the LCM of 25 and 40?
The least common multiple of 25 and 40 is 200. The multiples of 25 begin 25, 50, 75, 100, … and the multiples of 40 begin 40, 80, 120, …, and 200 is the first value both lists share. Formula check: (25 × 40) ÷ GCF(25, 40) = 1000 ÷ 5 = 200.
How do you find the LCM of 25 and 40?
Compare prime factorizations: 25 = 5² and 40 = 2³ × 5. Carry every prime at its highest power into the answer: 2³ × 5² = 200. The shortcut through the GCF lands on the same value: (25 × 40) ÷ 5 = 200.
What is the GCF of 25 and 40?
5. The largest number dividing both. The identity GCF × LCM = 25 × 40 checks it against this page: 5 × 200 = 1000. The same GCF reduces fractions built on 25 and 40, while 200 is the common denominator that needs no reducing.
What are the common multiples of 25 and 40?
Exactly the multiples of the LCM: 200, 400, 600, 800, 1000, 1200, and onward without end. The table above lists the first twelve; every later one is another 200 steps out. These are the numbers into which both 25 and 40 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.