Least Common Multiple (LCM) of 190 and 195
The least common multiple (LCM) of 190 and 195 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 190 and 195?
First, calculate the GCD of 190 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 195 = 0 remainder 190 |
| 2 | 195 ÷ 190 = 1 remainder 5 |
| 3 | 190 ÷ 5 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 112 | 11088 |
| 107 and 199 | 21293 |
| 154 and 154 | 154 |
| 170 and 64 | 5440 |
| 173 and 131 | 22663 |