Least Common Multiple (LCM) of 193 and 195
The least common multiple (LCM) of 193 and 195 is 37635.
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 193 and 195?
First, calculate the GCD of 193 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 195 = 0 remainder 193 |
| 2 | 195 ÷ 193 = 1 remainder 2 |
| 3 | 193 ÷ 2 = 96 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 109 | 7194 |
| 90 and 14 | 630 |
| 64 and 191 | 12224 |
| 131 and 195 | 25545 |
| 37 and 66 | 2442 |