Least Common Multiple (LCM) of 104 and 129
The least common multiple (LCM) of 104 and 129 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 104 and 129?
First, calculate the GCD of 104 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 129 = 0 remainder 104 |
| 2 | 129 ÷ 104 = 1 remainder 25 |
| 3 | 104 ÷ 25 = 4 remainder 4 |
| 4 | 25 ÷ 4 = 6 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 38 | 494 |
| 192 and 58 | 5568 |
| 87 and 48 | 1392 |
| 102 and 103 | 10506 |
| 180 and 141 | 8460 |