Least Common Multiple (LCM) of 82 and 161
The least common multiple (LCM) of 82 and 161 is 13202.
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 161?
First, calculate the GCD of 82 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 161 = 0 remainder 82 |
| 2 | 161 ÷ 82 = 1 remainder 79 |
| 3 | 82 ÷ 79 = 1 remainder 3 |
| 4 | 79 ÷ 3 = 26 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 55 | 4565 |
| 110 and 200 | 2200 |
| 76 and 67 | 5092 |
| 118 and 180 | 10620 |
| 120 and 21 | 840 |