Least Common Multiple (LCM) of 130 and 146
The least common multiple (LCM) of 130 and 146 is 9490.
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 146?
First, calculate the GCD of 130 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 146 = 0 remainder 130 |
| 2 | 146 ÷ 130 = 1 remainder 16 |
| 3 | 130 ÷ 16 = 8 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 99 | 16137 |
| 40 and 163 | 6520 |
| 148 and 67 | 9916 |
| 126 and 97 | 12222 |
| 136 and 106 | 7208 |