Least Common Multiple (LCM) of 78 and 86
The least common multiple (LCM) of 78 and 86 is 3354.
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 78 and 86?
First, calculate the GCD of 78 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 86 = 0 remainder 78 |
| 2 | 86 ÷ 78 = 1 remainder 8 |
| 3 | 78 ÷ 8 = 9 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 82 | 7954 |
| 178 and 25 | 4450 |
| 95 and 123 | 11685 |
| 51 and 153 | 153 |
| 136 and 191 | 25976 |