Least Common Multiple (LCM) of 130 and 86
The least common multiple (LCM) of 130 and 86 is 5590.
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 86?
First, calculate the GCD of 130 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 86 = 1 remainder 44 |
| 2 | 86 ÷ 44 = 1 remainder 42 |
| 3 | 44 ÷ 42 = 1 remainder 2 |
| 4 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 101 | 11312 |
| 123 and 57 | 2337 |
| 162 and 140 | 11340 |
| 49 and 121 | 5929 |
| 143 and 10 | 1430 |