LCM for 15 and 31
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 15 and 31?
Answer
LCM of 15 and 31 is
465
First common multiples: 465; 930; 1,395; …
465 is divisible by both: 465 ÷ 15 = 31, 465 ÷ 31 = 15 — and 31 and 15 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 31 and of y/31 by 15.
15 and 31 are coprime (GCF = 1), so their LCM is simply the product: 15 × 31 = 465.
15 = 3 × 5
31 — prime
| Prime | 15 | 31 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 5 | 5 | — | 5 |
| 31 | — | 31 | 31 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 5 × 31 = 465
More with these numbers
Found an error in the calculation or the information?
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
Share This Calculation
Print
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/15--31">What is the LCM of 15 and 31? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
