Least Common Multiple (LCM) of 82 and 190
The least common multiple (LCM) of 82 and 190 is 7790.
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 82 and 190?
First, calculate the GCD of 82 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 190 = 0 remainder 82 |
| 2 | 190 ÷ 82 = 2 remainder 26 |
| 3 | 82 ÷ 26 = 3 remainder 4 |
| 4 | 26 ÷ 4 = 6 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 53 | 7897 |
| 185 and 180 | 6660 |
| 19 and 194 | 3686 |
| 101 and 50 | 5050 |
| 74 and 117 | 8658 |