Least Common Multiple (LCM) of 127 and 86
The least common multiple (LCM) of 127 and 86 is 10922.
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 127 and 86?
First, calculate the GCD of 127 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 86 = 1 remainder 41 |
| 2 | 86 ÷ 41 = 2 remainder 4 |
| 3 | 41 ÷ 4 = 10 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 154 | 1694 |
| 82 and 38 | 1558 |
| 116 and 37 | 4292 |
| 50 and 174 | 4350 |
| 190 and 150 | 2850 |