Least Common Multiple (LCM) of 135 and 127
The least common multiple (LCM) of 135 and 127 is 17145.
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 135 and 127?
First, calculate the GCD of 135 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 127 = 1 remainder 8 |
| 2 | 127 ÷ 8 = 15 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 89 | 3649 |
| 105 and 17 | 1785 |
| 153 and 35 | 5355 |
| 41 and 164 | 164 |
| 198 and 78 | 2574 |