Least Common Multiple (LCM) of 134 and 193
The least common multiple (LCM) of 134 and 193 is 25862.
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 193?
First, calculate the GCD of 134 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 193 = 0 remainder 134 |
| 2 | 193 ÷ 134 = 1 remainder 59 |
| 3 | 134 ÷ 59 = 2 remainder 16 |
| 4 | 59 ÷ 16 = 3 remainder 11 |
| 5 | 16 ÷ 11 = 1 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 107 | 6099 |
| 187 and 157 | 29359 |
| 119 and 63 | 1071 |
| 158 and 145 | 22910 |
| 26 and 190 | 2470 |