Least Common Multiple (LCM) of 81 and 190
The least common multiple (LCM) of 81 and 190 is 15390.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 81 and 190?
First, calculate the GCD of 81 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 190 = 0 remainder 81 |
| 2 | 190 ÷ 81 = 2 remainder 28 |
| 3 | 81 ÷ 28 = 2 remainder 25 |
| 4 | 28 ÷ 25 = 1 remainder 3 |
| 5 | 25 ÷ 3 = 8 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 145 | 870 |
| 26 and 138 | 1794 |
| 196 and 22 | 2156 |
| 42 and 132 | 924 |
| 94 and 104 | 4888 |