Least Common Multiple (LCM) of 172 and 82
The least common multiple (LCM) of 172 and 82 is 7052.
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 172 and 82?
First, calculate the GCD of 172 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 82 = 2 remainder 8 |
| 2 | 82 ÷ 8 = 10 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 106 | 2438 |
| 192 and 15 | 960 |
| 98 and 185 | 18130 |
| 165 and 190 | 6270 |
| 182 and 140 | 1820 |