Least Common Multiple (LCM) of 108 and 107
The least common multiple (LCM) of 108 and 107 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 108 and 107?
First, calculate the GCD of 108 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 107 = 1 remainder 1 |
| 2 | 107 ÷ 1 = 107 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 85 | 7310 |
| 122 and 56 | 3416 |
| 104 and 89 | 9256 |
| 77 and 159 | 12243 |
| 157 and 75 | 11775 |