Least Common Multiple (LCM) of 161 and 86
The least common multiple (LCM) of 161 and 86 is 13846.
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 161 and 86?
First, calculate the GCD of 161 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 86 = 1 remainder 75 |
| 2 | 86 ÷ 75 = 1 remainder 11 |
| 3 | 75 ÷ 11 = 6 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 67 | 13333 |
| 76 and 182 | 6916 |
| 32 and 83 | 2656 |
| 198 and 175 | 34650 |
| 14 and 172 | 1204 |