Least Common Multiple (LCM) of 196 and 134
The least common multiple (LCM) of 196 and 134 is 13132.
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 196 and 134?
First, calculate the GCD of 196 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 134 = 1 remainder 62 |
| 2 | 134 ÷ 62 = 2 remainder 10 |
| 3 | 62 ÷ 10 = 6 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 189 | 756 |
| 105 and 75 | 525 |
| 132 and 99 | 396 |
| 107 and 137 | 14659 |
| 91 and 23 | 2093 |