Least Common Multiple (LCM) of 194 and 195
The least common multiple (LCM) of 194 and 195 is 37830.
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 194 and 195?
First, calculate the GCD of 194 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 195 = 0 remainder 194 |
| 2 | 195 ÷ 194 = 1 remainder 1 |
| 3 | 194 ÷ 1 = 194 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 115 | 4830 |
| 148 and 158 | 11692 |
| 27 and 172 | 4644 |
| 174 and 30 | 870 |
| 108 and 104 | 2808 |