Least Common Multiple (LCM) of 106 and 127
The least common multiple (LCM) of 106 and 127 is 13462.
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 106 and 127?
First, calculate the GCD of 106 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 127 = 0 remainder 106 |
| 2 | 127 ÷ 106 = 1 remainder 21 |
| 3 | 106 ÷ 21 = 5 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 118 | 3068 |
| 196 and 29 | 5684 |
| 15 and 79 | 1185 |
| 169 and 92 | 15548 |
| 115 and 65 | 1495 |