Least Common Multiple (LCM) of 129 and 26
The least common multiple (LCM) of 129 and 26 is 3354.
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 26?
First, calculate the GCD of 129 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 26 = 4 remainder 25 |
| 2 | 26 ÷ 25 = 1 remainder 1 |
| 3 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 11 | 1551 |
| 66 and 180 | 1980 |
| 90 and 192 | 2880 |
| 178 and 114 | 10146 |
| 130 and 115 | 2990 |