Least Common Multiple (LCM) of 129 and 104
The least common multiple (LCM) of 129 and 104 is 13416.
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 104?
First, calculate the GCD of 129 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 104 = 1 remainder 25 |
| 2 | 104 ÷ 25 = 4 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 15 | 405 |
| 75 and 76 | 5700 |
| 28 and 27 | 756 |
| 105 and 35 | 105 |
| 115 and 145 | 3335 |