Least Common Multiple (LCM) of 193 and 134
The least common multiple (LCM) of 193 and 134 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 193 and 134?
First, calculate the GCD of 193 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 134 = 1 remainder 59 |
| 2 | 134 ÷ 59 = 2 remainder 16 |
| 3 | 59 ÷ 16 = 3 remainder 11 |
| 4 | 16 ÷ 11 = 1 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 129 | 15351 |
| 192 and 24 | 192 |
| 124 and 79 | 9796 |
| 42 and 25 | 1050 |
| 194 and 172 | 16684 |