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Berechnen Sie das kleinste gemeinsame Vielfache (KGV) zweier oder mehrerer Zahlen.

kgV Wert

36

Gcd Val6
Product216

Formel

Least Common Multiple (LCM)

Definition

The LCM of two numbers is the smallest positive integer that is divisible by both numbers.

Formula

LCM(a, b) = a × b / GCD(a, b)

Example

LCM(12, 18):

  • GCD(12, 18) = 6
  • LCM = (12 × 18) / 6 = 216 / 6 = 36
  • Lösungsbeispiel

    Find LCM(12, 18).

    1. 01GCD(12, 18) = 6
    2. 02LCM = (12 × 18) / 6
    3. 03= 216 / 6
    4. 04= 36

    Häufig Gestellte Fragen

    What is LCM?

    The least common multiple is the smallest number that both numbers divide into evenly. For example, LCM(4, 6) = 12.

    When is LCM useful?

    LCM is used when adding fractions (finding a common denominator), scheduling events that repeat at different intervals, and in number theory.

    What is the relationship between GCD and LCM?

    GCD(a,b) × LCM(a,b) = a × b. Knowing one lets you calculate the other.

    Lernen

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