Least Common Multiple (LCM) of 195 and 130
The least common multiple (LCM) of 195 and 130 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 195 and 130?
First, calculate the GCD of 195 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 130 = 1 remainder 65 |
| 2 | 130 ÷ 65 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 153 | 8874 |
| 171 and 36 | 684 |
| 155 and 112 | 17360 |
| 148 and 174 | 12876 |
| 110 and 52 | 2860 |