Least Common Multiple (LCM) of 102 and 181
The least common multiple (LCM) of 102 and 181 is 18462.
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 102 and 181?
First, calculate the GCD of 102 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 181 = 0 remainder 102 |
| 2 | 181 ÷ 102 = 1 remainder 79 |
| 3 | 102 ÷ 79 = 1 remainder 23 |
| 4 | 79 ÷ 23 = 3 remainder 10 |
| 5 | 23 ÷ 10 = 2 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 83 | 6391 |
| 98 and 93 | 9114 |
| 178 and 165 | 29370 |
| 100 and 54 | 2700 |
| 167 and 99 | 16533 |