Least Common Multiple (LCM) of 182 and 85
The least common multiple (LCM) of 182 and 85 is 15470.
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 85?
First, calculate the GCD of 182 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 85 = 2 remainder 12 |
| 2 | 85 ÷ 12 = 7 remainder 1 |
| 3 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 177 | 18762 |
| 100 and 134 | 6700 |
| 171 and 137 | 23427 |
| 51 and 186 | 3162 |
| 185 and 100 | 3700 |