Least Common Multiple (LCM) of 182 and 86
The least common multiple (LCM) of 182 and 86 is 7826.
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 182 and 86?
First, calculate the GCD of 182 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 86 = 2 remainder 10 |
| 2 | 86 ÷ 10 = 8 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 102 | 306 |
| 55 and 13 | 715 |
| 184 and 148 | 6808 |
| 110 and 156 | 8580 |
| 59 and 70 | 4130 |