Least Common Multiple (LCM) of 129 and 130
The least common multiple (LCM) of 129 and 130 is 16770.
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 130?
First, calculate the GCD of 129 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 130 = 0 remainder 129 |
| 2 | 130 ÷ 129 = 1 remainder 1 |
| 3 | 129 ÷ 1 = 129 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 100 | 1200 |
| 172 and 109 | 18748 |
| 76 and 156 | 2964 |
| 142 and 192 | 13632 |
| 125 and 200 | 1000 |