Least Common Multiple (LCM) of 195 and 190
The least common multiple (LCM) of 195 and 190 is 7410.
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 190?
First, calculate the GCD of 195 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 190 = 1 remainder 5 |
| 2 | 190 ÷ 5 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 77 | 8162 |
| 181 and 100 | 18100 |
| 153 and 84 | 4284 |
| 123 and 67 | 8241 |
| 154 and 130 | 10010 |