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 |
|---|---|
| 128 and 40 | 640 |
| 186 and 70 | 6510 |
| 47 and 98 | 4606 |
| 136 and 83 | 11288 |
| 110 and 49 | 5390 |