Least Common Multiple (LCM) of 171 and 161
The least common multiple (LCM) of 171 and 161 is 27531.
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 171 and 161?
First, calculate the GCD of 171 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 161 = 1 remainder 10 |
| 2 | 161 ÷ 10 = 16 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 107 | 14659 |
| 144 and 75 | 3600 |
| 42 and 81 | 1134 |
| 157 and 65 | 10205 |
| 114 and 83 | 9462 |