LCM Calculator | Least Common Multiple & LCD Solver
Calculate the Least Common Multiple (LCM) for up to 10 numbers using our free LCM calculator. Explains Prime Factorization and Division Grid methods with step-by-step solver.
Enter 2 to 10 positive integers between 1 and 10,000.
Map fractions with denominators matching input list values.
Least Common Multiple (LCM)
24
Solved
LCM Prime Exponent Formula
2^3 × 3
Least Common Denominator (LCD) Alignments
Fraction 1
1/64/24
Fraction 2
3/89/24
Fraction 3
5/1210/24
| Number | Prime Factors | Expanded Form |
|---|---|---|
| 6 | 2 × 3 | 2 × 3 |
| 8 | 2<sup>3</sup> | 2 × 2 × 2 |
| 12 | 2<sup>2</sup> × 3 | 2 × 2 × 3 |
Method Explanation:To solve using prime factorization, find the prime factors of all numbers. For each distinct prime factor (e.g. 2, 3), locate the highest power it occurs among the inputs and multiply them.