Least Common Multiple (LCM) of 195 and 193
The least common multiple (LCM) of 195 and 193 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 195 and 193?
First, calculate the GCD of 195 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 193 = 1 remainder 2 |
| 2 | 193 ÷ 2 = 96 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 35 | 560 |
| 73 and 108 | 7884 |
| 150 and 59 | 8850 |
| 94 and 176 | 8272 |
| 22 and 154 | 154 |