Least Common Multiple (LCM) of 77 and 79
The least common multiple (LCM) of 77 and 79 is 6083.
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 79?
First, calculate the GCD of 77 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 79 = 0 remainder 77 |
| 2 | 79 ÷ 77 = 1 remainder 2 |
| 3 | 77 ÷ 2 = 38 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 113 | 12882 |
| 184 and 38 | 3496 |
| 40 and 124 | 1240 |
| 198 and 50 | 4950 |
| 92 and 113 | 10396 |