Least Common Multiple (LCM) of 129 and 126
The least common multiple (LCM) of 129 and 126 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 129 and 126?
First, calculate the GCD of 129 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 126 = 1 remainder 3 |
| 2 | 126 ÷ 3 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 35 | 945 |
| 198 and 176 | 1584 |
| 49 and 151 | 7399 |
| 169 and 104 | 1352 |
| 169 and 12 | 2028 |