Least Common Multiple (LCM) of 194 and 134
The least common multiple (LCM) of 194 and 134 is 12998.
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 134?
First, calculate the GCD of 194 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 134 = 1 remainder 60 |
| 2 | 134 ÷ 60 = 2 remainder 14 |
| 3 | 60 ÷ 14 = 4 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 125 | 5375 |
| 188 and 35 | 6580 |
| 108 and 164 | 4428 |
| 185 and 106 | 19610 |
| 160 and 34 | 2720 |