Least Common Multiple (LCM) of 78 and 181
The least common multiple (LCM) of 78 and 181 is 14118.
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 78 and 181?
First, calculate the GCD of 78 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 181 = 0 remainder 78 |
| 2 | 181 ÷ 78 = 2 remainder 25 |
| 3 | 78 ÷ 25 = 3 remainder 3 |
| 4 | 25 ÷ 3 = 8 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 197 | 23049 |
| 107 and 180 | 19260 |
| 169 and 92 | 15548 |
| 148 and 186 | 13764 |
| 43 and 104 | 4472 |