Least Common Multiple (LCM) of 86 and 182
The least common multiple (LCM) of 86 and 182 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 86 and 182?
First, calculate the GCD of 86 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 182 = 0 remainder 86 |
| 2 | 182 ÷ 86 = 2 remainder 10 |
| 3 | 86 ÷ 10 = 8 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 105 | 20895 |
| 189 and 149 | 28161 |
| 47 and 180 | 8460 |
| 113 and 71 | 8023 |
| 46 and 157 | 7222 |