Least Common Multiple (LCM) of 26 and 129
The least common multiple (LCM) of 26 and 129 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 26 and 129?
First, calculate the GCD of 26 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 129 = 0 remainder 26 |
| 2 | 129 ÷ 26 = 4 remainder 25 |
| 3 | 26 ÷ 25 = 1 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 171 | 27531 |
| 123 and 177 | 7257 |
| 187 and 149 | 27863 |
| 46 and 151 | 6946 |
| 83 and 44 | 3652 |