Least Common Multiple (LCM) of 77 and 115
The least common multiple (LCM) of 77 and 115 is 8855.
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 77 and 115?
First, calculate the GCD of 77 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 115 = 0 remainder 77 |
| 2 | 115 ÷ 77 = 1 remainder 38 |
| 3 | 77 ÷ 38 = 2 remainder 1 |
| 4 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 66 | 5412 |
| 115 and 109 | 12535 |
| 37 and 188 | 6956 |
| 47 and 137 | 6439 |
| 101 and 86 | 8686 |