Least Common Multiple (LCM) of 181 and 161
The least common multiple (LCM) of 181 and 161 is 29141.
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 181 and 161?
First, calculate the GCD of 181 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 161 = 1 remainder 20 |
| 2 | 161 ÷ 20 = 8 remainder 1 |
| 3 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 55 | 1430 |
| 27 and 181 | 4887 |
| 162 and 38 | 3078 |
| 96 and 102 | 1632 |
| 144 and 130 | 9360 |