MGM-kalkulator – Minsta gemensamma multipel

Slik bruker du denne kalkulatoren

1. Skriv inn Number 1
2. Skriv inn Number 2
3. Klikk på Beregn-knappen
4. Les resultatet som vises under kalkulatoren

What is LCM (Least Common Multiple)?

The Least Common Multiple (LCM) of two numbers is the smallest positive number that is divisible by both numbers.

For example, LCM(4, 6) = 12, because 12 is the smallest number divisible by both 4 and 6.

LCM is calculated using the formula: LCM(a, b) = |a × b| / GCD(a, b), where GCD is the Greatest Common Divisor.

How to Find LCM

There are several methods to find LCM:

• Prime factorization: Find prime factors of each number, take the highest power of each prime
• Using GCD: LCM(a,b) = |a×b| / GCD(a,b)
• Listing multiples: List multiples of each number until you find the first common one

This calculator uses the GCD method for speed and accuracy.

LCM Applications

LCM is used to find common denominators when adding fractions, synchronize recurring events (scheduling), and solve problems involving repeating cycles.

For example, if Bus A comes every 12 minutes and Bus B every 18 minutes, they'll arrive together every LCM(12,18) = 36 minutes.