Least Common Multiple (LCM) of 82 and 39
The least common multiple (LCM) of 82 and 39 is 3198.
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 82 and 39?
First, calculate the GCD of 82 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 39 = 2 remainder 4 |
| 2 | 39 ÷ 4 = 9 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 165 | 26565 |
| 56 and 19 | 1064 |
| 158 and 190 | 15010 |
| 195 and 164 | 31980 |
| 198 and 127 | 25146 |