Least Common Multiple (LCM) of 181 and 163
The least common multiple (LCM) of 181 and 163 is 29503.
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 163?
First, calculate the GCD of 181 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 163 = 1 remainder 18 |
| 2 | 163 ÷ 18 = 9 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 39 | 312 |
| 129 and 153 | 6579 |
| 109 and 71 | 7739 |
| 59 and 200 | 11800 |
| 124 and 45 | 5580 |