Least Common Multiple (LCM) of 80 and 161
The least common multiple (LCM) of 80 and 161 is 12880.
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 80 and 161?
First, calculate the GCD of 80 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 161 = 0 remainder 80 |
| 2 | 161 ÷ 80 = 2 remainder 1 |
| 3 | 80 ÷ 1 = 80 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 77 | 8547 |
| 115 and 59 | 6785 |
| 186 and 200 | 18600 |
| 142 and 170 | 12070 |
| 123 and 100 | 12300 |