Least Common Multiple (LCM) of 177 and 180
The least common multiple (LCM) of 177 and 180 is 10620.
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 177 and 180?
First, calculate the GCD of 177 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 180 = 0 remainder 177 |
| 2 | 180 ÷ 177 = 1 remainder 3 |
| 3 | 177 ÷ 3 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 34 | 5814 |
| 157 and 14 | 2198 |
| 120 and 80 | 240 |
| 50 and 89 | 4450 |
| 165 and 191 | 31515 |