Least Common Multiple (LCM) of 107 and 181
The least common multiple (LCM) of 107 and 181 is 19367.
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 181?
First, calculate the GCD of 107 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 181 = 0 remainder 107 |
| 2 | 181 ÷ 107 = 1 remainder 74 |
| 3 | 107 ÷ 74 = 1 remainder 33 |
| 4 | 74 ÷ 33 = 2 remainder 8 |
| 5 | 33 ÷ 8 = 4 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 180 | 10620 |
| 112 and 97 | 10864 |
| 149 and 25 | 3725 |
| 106 and 176 | 9328 |
| 96 and 130 | 6240 |