Least Common Multiple (LCM) of 130 and 195
The least common multiple (LCM) of 130 and 195 is 390.
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 195?
First, calculate the GCD of 130 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 195 = 0 remainder 130 |
| 2 | 195 ÷ 130 = 1 remainder 65 |
| 3 | 130 ÷ 65 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 17 | 3264 |
| 26 and 188 | 2444 |
| 47 and 178 | 8366 |
| 123 and 117 | 4797 |
| 118 and 199 | 23482 |