Least Common Multiple (LCM) of 78 and 77
The least common multiple (LCM) of 78 and 77 is 6006.
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 77?
First, calculate the GCD of 78 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 77 = 1 remainder 1 |
| 2 | 77 ÷ 1 = 77 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 90 | 270 |
| 183 and 161 | 29463 |
| 189 and 25 | 4725 |
| 29 and 138 | 4002 |
| 97 and 177 | 17169 |