Least Common Multiple (LCM) of 106 and 107
The least common multiple (LCM) of 106 and 107 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 106 and 107?
First, calculate the GCD of 106 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 107 = 0 remainder 106 |
| 2 | 107 ÷ 106 = 1 remainder 1 |
| 3 | 106 ÷ 1 = 106 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 46 | 1748 |
| 170 and 197 | 33490 |
| 156 and 125 | 19500 |
| 117 and 92 | 10764 |
| 180 and 76 | 3420 |