Least Common Multiple (LCM) of 129 and 42
The least common multiple (LCM) of 129 and 42 is 1806.
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 42?
First, calculate the GCD of 129 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 42 = 3 remainder 3 |
| 2 | 42 ÷ 3 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 158 | 28282 |
| 68 and 190 | 6460 |
| 116 and 89 | 10324 |
| 142 and 77 | 10934 |
| 107 and 51 | 5457 |