Least Common Multiple (LCM) of 77 and 179
The least common multiple (LCM) of 77 and 179 is 13783.
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 179?
First, calculate the GCD of 77 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 179 = 0 remainder 77 |
| 2 | 179 ÷ 77 = 2 remainder 25 |
| 3 | 77 ÷ 25 = 3 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 107 | 18725 |
| 105 and 15 | 105 |
| 178 and 12 | 1068 |
| 104 and 90 | 4680 |
| 126 and 50 | 3150 |