Least Common Multiple (LCM) of 107 and 81
The least common multiple (LCM) of 107 and 81 is 8667.
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 81?
First, calculate the GCD of 107 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 81 = 1 remainder 26 |
| 2 | 81 ÷ 26 = 3 remainder 3 |
| 3 | 26 ÷ 3 = 8 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 111 | 6549 |
| 168 and 92 | 3864 |
| 77 and 103 | 7931 |
| 154 and 195 | 30030 |
| 184 and 76 | 3496 |