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 |
|---|---|
| 163 and 13 | 2119 |
| 138 and 111 | 5106 |
| 155 and 28 | 4340 |
| 184 and 42 | 3864 |
| 68 and 107 | 7276 |