最小公倍数计算器 — 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.

  1. GCF(12, 18) = 6
  2. LCM = (12 × 18) / 6 = 216 / 6 = 36
  3. Verification: 36 / 12 = 3 (whole number) and 36 / 18 = 2 (whole number)