The LCM Calculator finds the least common multiple of two or more whole numbers.
LCM = 4,950
| Least common multiple | 4,950 |
| 330 | 2 × 3 × 5 × 11 |
| 75 | 3 × 5^2 |
| 450 | 2 × 3^2 × 5^2 |
| 225 | 3^2 × 5^2 |
The least common multiple (LCM) of two or more numbers is the smallest positive number that all of them divide into evenly. The LCM of 4 and 6 is 12. LCMs are used to add fractions with different denominators and to find when repeating events line up.
Prime factorization: take each prime at its highest power found in any number. 330 = 2 × 3 × 5 × 11, 75 = 3 × 5², 450 = 2 × 3² × 5², 225 = 3² × 5², so LCM = 2 × 3² × 5² × 11 = 4,950. Using the GCF: LCM(a, b) = a × b ÷ GCF(a, b), applied pair by pair.
Two buses leaving every 12 and 18 minutes meet again every 36 minutes. To add 1/4 + 1/6, use the LCM 12 as the common denominator: 3/12 + 2/12 = 5/12.
What is the LCM of prime numbers? Their product.
Can the LCM be one of the numbers? Yes, if it is a multiple of all the others.
How is LCM related to GCF? For two numbers, LCM × GCF = a × b.