Least Common Multiple (LCM) of 177 and 91
The least common multiple (LCM) of 177 and 91 is 16107.
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 91?
First, calculate the GCD of 177 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 91 = 1 remainder 86 |
| 2 | 91 ÷ 86 = 1 remainder 5 |
| 3 | 86 ÷ 5 = 17 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 17 | 2159 |
| 134 and 184 | 12328 |
| 191 and 15 | 2865 |
| 118 and 45 | 5310 |
| 196 and 83 | 16268 |