Least Common Multiple (LCM) of 81 and 161
The least common multiple (LCM) of 81 and 161 is 13041.
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 161?
First, calculate the GCD of 81 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 161 = 0 remainder 81 |
| 2 | 161 ÷ 81 = 1 remainder 80 |
| 3 | 81 ÷ 80 = 1 remainder 1 |
| 4 | 80 ÷ 1 = 80 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 125 | 875 |
| 76 and 177 | 13452 |
| 179 and 74 | 13246 |
| 86 and 21 | 1806 |
| 129 and 67 | 8643 |