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 |
|---|---|
| 84 and 49 | 588 |
| 171 and 108 | 2052 |
| 58 and 97 | 5626 |
| 194 and 141 | 27354 |
| 132 and 200 | 6600 |