Least Common Multiple (LCM) of 107 and 108
The least common multiple (LCM) of 107 and 108 is 11556.
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 108?
First, calculate the GCD of 107 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 108 = 0 remainder 107 |
| 2 | 108 ÷ 107 = 1 remainder 1 |
| 3 | 107 ÷ 1 = 107 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 111 | 8436 |
| 18 and 43 | 774 |
| 100 and 130 | 1300 |
| 82 and 98 | 4018 |
| 80 and 116 | 2320 |