LCM Calculator
Calculate the Least Common Multiple (LCM) of multiple numbers with step-by-step division table method.
Least Common Multiple (LCM) Calculator
Find the least common multiple of two or more positive integers using the division method.
Enter numbers above to calculate their LCM
What is LCM (Least Common Multiple)?
LCM (Least Common Multiple) is the smallest number which is exactly divisible by all the given numbers.
We can also calculate the LCM of the numbers using GCD (Greatest Common Divisor) of the numbers using the following formula:
Examples:
LCM(10, 20, 30) = ?
| 2 | 5 | 10 | 15 |
| 2 | 5 | 5 | 15 |
| 3 | 5 | 5 | 5 |
| 5 | 1 | 1 | 1 |
From the above table we came to know that 2, 3, and 5 are the common multiples.
Hence, 30 is the smallest number which is exactly divisible by all the given numbers 10, 20, 30.
LCM(7, 12, 6) = ?
| 2 | 7 | 6 | 3 |
| 2 | 7 | 3 | 3 |
| 3 | 7 | 1 | 1 |
| 7 | 1 | 1 | 1 |
From the above division table we knew that LCM of 12 and 6 is being multiplied by 7.
If we have one or more prime numbers in the collection then they can be multiplied with the LCM of the remaining composite numbers.
Note: If collection contains at least one prime number then that prime number can be multiplied later with the LCM of the remaining composite numbers.
If you are asked the LCM of numbers collection which contains all prime numbers then automatically you can write the LCM to be multiple of all of them. For example .