LCM for 13 and 45
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 13 and 45?
Answer
LCM of 13 and 45 is
585
First common multiples: 585; 1,170; 1,755; …
585 is divisible by both: 585 ÷ 13 = 45, 585 ÷ 45 = 13 — and 45 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/13 by 45 and of y/45 by 13.
13 and 45 are coprime (GCF = 1), so their LCM is simply the product: 13 × 45 = 585.
13 — prime
45 = 32 × 5
| Prime | 13 | 45 | Highest power |
|---|---|---|---|
| 3 | — | 32 | 32 |
| 5 | — | 5 | 5 |
| 13 | 13 | — | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 32 × 5 × 13 = 585
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/13--45">What is the LCM of 13 and 45? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
