Least Common Multiple (LCM) of 130 and 92
The least common multiple (LCM) of 130 and 92 is 5980.
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 92?
First, calculate the GCD of 130 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 92 = 1 remainder 38 |
| 2 | 92 ÷ 38 = 2 remainder 16 |
| 3 | 38 ÷ 16 = 2 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 115 | 230 |
| 76 and 170 | 6460 |
| 100 and 20 | 100 |
| 34 and 71 | 2414 |
| 149 and 151 | 22499 |