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求两个整数的最小公倍数,适用于分数运算。
最小公倍数
36
Gcd Val6
Product216
公式
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) = / GCD(a, b)a × b
Example
LCM(12, 18):
计算示例
Find LCM(12, 18).
- 01GCD(12, 18) = 6
- 02LCM = (12 × 18) / 6
- 03= 216 / 6
- 04= 36
常见问题
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.
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