免费最小公倍数计算器
求两个或多个整数的最小公倍数(LCM)，显示计算过程。
最小公倍数
36
公式
## How to Find the Least Common Multiple ### Methods **Method 1: Using GCF** **LCM(a, b) = (a × b) / GCF(a, b)** **Method 2: Prime Factorization** 1. Find the prime factorization of each number 2. Take the highest power of each prime that appears 3. Multiply them together **Method 3: Listing Multiples** 1. List multiples of each number 2. Find the smallest number that appears in both lists
计算示例
Find the LCM of 12 and 18.
- 01GCF(12, 18) = 6
- 02LCM = (12 × 18) / 6 = 216 / 6 = 36
- 03Verification: 36 / 12 = 3 (whole number) and 36 / 18 = 2 (whole number)
常见问题
What is the LCM?
The least common multiple (LCM) is the smallest positive number that is evenly divisible by two or more numbers. For example, LCM(4, 6) = 12.
When do you use the LCM?
The LCM is used when adding or subtracting fractions with different denominators (finding a common denominator), and in problems involving repeating cycles or schedules.
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