LCM for 15 and 16
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 15 and 16?
Answer
LCM of 15 and 16 is
240
First common multiples: 240, 480, 720, …
240 is divisible by both: 240 ÷ 15 = 16, 240 ÷ 16 = 15 — and 16 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 16 and of y/16 by 15.
15 and 16 are coprime (GCF = 1), so their LCM is simply the product: 15 × 16 = 240.
15 = 3 × 5
16 = 24
| Prime | 15 | 16 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 3 | 3 | — | 3 |
| 5 | 5 | — | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 3 × 5 = 240
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--16">What is the LCM of 15 and 16? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
