Least Common Multiple (LCM) of 195 and 194
The least common multiple (LCM) of 195 and 194 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 195 and 194?
First, calculate the GCD of 195 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 194 = 1 remainder 1 |
| 2 | 194 ÷ 1 = 194 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 74 | 8954 |
| 126 and 192 | 4032 |
| 172 and 189 | 32508 |
| 142 and 141 | 20022 |
| 110 and 189 | 20790 |