Least Common Multiple (LCM) of 177 and 161
The least common multiple (LCM) of 177 and 161 is 28497.
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 161?
First, calculate the GCD of 177 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 161 = 1 remainder 16 |
| 2 | 161 ÷ 16 = 10 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 164 | 6232 |
| 112 and 141 | 15792 |
| 188 and 33 | 6204 |
| 181 and 181 | 181 |
| 135 and 91 | 12285 |