Least Common Multiple (LCM) of 134 and 197
The least common multiple (LCM) of 134 and 197 is 26398.
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 197?
First, calculate the GCD of 134 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 197 = 0 remainder 134 |
| 2 | 197 ÷ 134 = 1 remainder 63 |
| 3 | 134 ÷ 63 = 2 remainder 8 |
| 4 | 63 ÷ 8 = 7 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 128 | 1664 |
| 47 and 15 | 705 |
| 172 and 172 | 172 |
| 70 and 118 | 4130 |
| 167 and 25 | 4175 |