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 |
|---|---|
| 91 and 39 | 273 |
| 54 and 168 | 1512 |
| 136 and 39 | 5304 |
| 164 and 75 | 12300 |
| 27 and 166 | 4482 |