Least Common Multiple (LCM) of 82 and 78
The least common multiple (LCM) of 82 and 78 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 78?
First, calculate the GCD of 82 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 78 = 1 remainder 4 |
| 2 | 78 ÷ 4 = 19 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 52 | 104 |
| 175 and 140 | 700 |
| 192 and 191 | 36672 |
| 187 and 176 | 2992 |
| 120 and 37 | 4440 |