Least Common Multiple (LCM) of 129 and 102
The least common multiple (LCM) of 129 and 102 is 4386.
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 102?
First, calculate the GCD of 129 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 102 = 1 remainder 27 |
| 2 | 102 ÷ 27 = 3 remainder 21 |
| 3 | 27 ÷ 21 = 1 remainder 6 |
| 4 | 21 ÷ 6 = 3 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 149 | 17135 |
| 136 and 171 | 23256 |
| 195 and 14 | 2730 |
| 193 and 127 | 24511 |
| 11 and 43 | 473 |