Least Common Multiple (LCM) of 126 and 129
The least common multiple (LCM) of 126 and 129 is 5418.
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 126 and 129?
First, calculate the GCD of 126 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 129 = 0 remainder 126 |
| 2 | 129 ÷ 126 = 1 remainder 3 |
| 3 | 126 ÷ 3 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 197 | 13593 |
| 158 and 112 | 8848 |
| 78 and 39 | 78 |
| 161 and 118 | 18998 |
| 81 and 72 | 648 |