EKOK Hesaplayıcı
İki sayının en küçük ortak katını hesaplayın.
Ne is LCM (Least Common Multiple)?
The Least Common Multiple (LCM) of two sayılar is the smallest positive Sayı that is divisible by both sayılar.
For örnek, LCM(4, 6) = 12, çünkü 12 is the smallest Sayı divisible by both 4 and 6.
LCM is calculated using the formül: LCM(a, b) = |a × b| / GCD(a, b), where GCD is the Greatest Common Divisor.
Nasıl to Find LCM
There are several methods to find LCM:
- Prime factorization: Find asal factors of each Sayı, take the highest kuvvet of each prime
- Using GCD: LCM(a,b) = |a×b| / GCD(a,b)
- Listing multiples: List multiples of each Sayı until you find the first common one
This hesaplayıcı uses the GCD method for hız and accuracy.
LCM Applications
LCM is used to find common denominators Ne zaman adding fractions, synchronize recurring events (scheduling), and solve problems involving repeating cycles.
For örnek, if Bus A comes every 12 dakika and Bus B every 18 dakika, they'll arrive together every LCM(12,18) = 36 dakika.
Sık Sorulan Sorular
Ne is LCM of 12 and 18?
LCM(12, 18) = 36. Both 12 and 18 divide evenly into 36.
Ne's the fark arasında LCM and GCF?
LCM (Least Common Multiple) is the smallest shared multiple. GCF (Greatest Common Faktör) is the largest shared faktör. Örneğin, LCM(4,6)=12 and GCF(4,6)=2.
Can LCM be one of the sayılar?
Yes, if one Sayı is a multiple of the other. Örneğin, LCM(3, 9) = 9.