Least Common Multiple (LCM) of 163 and 181
The least common multiple (LCM) of 163 and 181 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 163 and 181?
First, calculate the GCD of 163 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 181 = 0 remainder 163 |
| 2 | 181 ÷ 163 = 1 remainder 18 |
| 3 | 163 ÷ 18 = 9 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 71 | 8946 |
| 126 and 17 | 2142 |
| 173 and 36 | 6228 |
| 107 and 63 | 6741 |
| 125 and 178 | 22250 |