Least Common Multiple (LCM) of 82 and 165
The least common multiple (LCM) of 82 and 165 is 13530.
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 165?
First, calculate the GCD of 82 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 165 = 0 remainder 82 |
| 2 | 165 ÷ 82 = 2 remainder 1 |
| 3 | 82 ÷ 1 = 82 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 68 | 7004 |
| 50 and 91 | 4550 |
| 121 and 170 | 20570 |
| 154 and 75 | 11550 |
| 44 and 64 | 704 |