Least Common Multiple (LCM) of 130 and 129
The least common multiple (LCM) of 130 and 129 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 130 and 129?
First, calculate the GCD of 130 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 129 = 1 remainder 1 |
| 2 | 129 ÷ 1 = 129 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 111 | 2109 |
| 141 and 165 | 7755 |
| 48 and 170 | 4080 |
| 79 and 101 | 7979 |
| 15 and 185 | 555 |