Least Common Multiple (LCM) of 146 and 130
The least common multiple (LCM) of 146 and 130 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 146 and 130?
First, calculate the GCD of 146 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 130 = 1 remainder 16 |
| 2 | 130 ÷ 16 = 8 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 107 | 18725 |
| 52 and 125 | 6500 |
| 170 and 101 | 17170 |
| 188 and 97 | 18236 |
| 118 and 23 | 2714 |