Least Common Multiple (LCM) of 134 and 127
The least common multiple (LCM) of 134 and 127 is 17018.
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 127?
First, calculate the GCD of 134 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 127 = 1 remainder 7 |
| 2 | 127 ÷ 7 = 18 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 87 | 16269 |
| 98 and 89 | 8722 |
| 87 and 177 | 5133 |
| 76 and 57 | 228 |
| 164 and 131 | 21484 |