Least Common Multiple (LCM) of 134 and 195
The least common multiple (LCM) of 134 and 195 is 26130.
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 134 and 195?
First, calculate the GCD of 134 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 195 = 0 remainder 134 |
| 2 | 195 ÷ 134 = 1 remainder 61 |
| 3 | 134 ÷ 61 = 2 remainder 12 |
| 4 | 61 ÷ 12 = 5 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 114 | 7410 |
| 185 and 114 | 21090 |
| 10 and 12 | 60 |
| 18 and 110 | 990 |
| 42 and 190 | 3990 |