Least Common Multiple (LCM) of 107 and 106
The least common multiple (LCM) of 107 and 106 is 11342.
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 107 and 106?
First, calculate the GCD of 107 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 106 = 1 remainder 1 |
| 2 | 106 ÷ 1 = 106 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 102 | 102 |
| 104 and 174 | 9048 |
| 75 and 177 | 4425 |
| 117 and 20 | 2340 |
| 126 and 189 | 378 |