Least Common Multiple (LCM) of 130 and 80
The least common multiple (LCM) of 130 and 80 is 1040.
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 80?
First, calculate the GCD of 130 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 80 = 1 remainder 50 |
| 2 | 80 ÷ 50 = 1 remainder 30 |
| 3 | 50 ÷ 30 = 1 remainder 20 |
| 4 | 30 ÷ 20 = 1 remainder 10 |
| 5 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 91 | 6188 |
| 126 and 108 | 756 |
| 112 and 24 | 336 |
| 85 and 12 | 1020 |
| 29 and 182 | 5278 |