Least Common Multiple (LCM) of 134 and 194
The least common multiple (LCM) of 134 and 194 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 134 and 194?
First, calculate the GCD of 134 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 194 = 0 remainder 134 |
| 2 | 194 ÷ 134 = 1 remainder 60 |
| 3 | 134 ÷ 60 = 2 remainder 14 |
| 4 | 60 ÷ 14 = 4 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 32 | 416 |
| 135 and 133 | 17955 |
| 144 and 34 | 2448 |
| 64 and 21 | 1344 |
| 115 and 17 | 1955 |