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 |
|---|---|
| 165 and 84 | 4620 |
| 143 and 79 | 11297 |
| 55 and 117 | 6435 |
| 193 and 139 | 26827 |
| 132 and 22 | 132 |