Least Common Multiple (LCM) of 130 and 89
The least common multiple (LCM) of 130 and 89 is 11570.
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 89?
First, calculate the GCD of 130 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 89 = 1 remainder 41 |
| 2 | 89 ÷ 41 = 2 remainder 7 |
| 3 | 41 ÷ 7 = 5 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 123 | 12792 |
| 137 and 18 | 2466 |
| 31 and 44 | 1364 |
| 149 and 151 | 22499 |
| 45 and 17 | 765 |