Least Common Multiple (LCM) of 181 and 86
The least common multiple (LCM) of 181 and 86 is 15566.
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 181 and 86?
First, calculate the GCD of 181 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 86 = 2 remainder 9 |
| 2 | 86 ÷ 9 = 9 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 117 | 7488 |
| 120 and 158 | 9480 |
| 113 and 185 | 20905 |
| 144 and 44 | 1584 |
| 159 and 129 | 6837 |