Least Common Multiple (LCM) of 177 and 82
The least common multiple (LCM) of 177 and 82 is 14514.
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 177 and 82?
First, calculate the GCD of 177 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 82 = 2 remainder 13 |
| 2 | 82 ÷ 13 = 6 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 16 | 848 |
| 72 and 94 | 3384 |
| 186 and 14 | 1302 |
| 83 and 146 | 12118 |
| 158 and 198 | 15642 |