Least Common Multiple (LCM) of 80 and 77
The least common multiple (LCM) of 80 and 77 is 6160.
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 80 and 77?
First, calculate the GCD of 80 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 77 = 1 remainder 3 |
| 2 | 77 ÷ 3 = 25 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 117 | 18720 |
| 27 and 42 | 378 |
| 18 and 20 | 180 |
| 74 and 49 | 3626 |
| 103 and 139 | 14317 |