Least Common Multiple (LCM) of 129 and 181
The least common multiple (LCM) of 129 and 181 is 23349.
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 129 and 181?
First, calculate the GCD of 129 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 181 = 0 remainder 129 |
| 2 | 181 ÷ 129 = 1 remainder 52 |
| 3 | 129 ÷ 52 = 2 remainder 25 |
| 4 | 52 ÷ 25 = 2 remainder 2 |
| 5 | 25 ÷ 2 = 12 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 118 | 10030 |
| 74 and 189 | 13986 |
| 153 and 77 | 11781 |
| 176 and 133 | 23408 |
| 140 and 103 | 14420 |