Least Common Multiple (LCM) of 177 and 168
The least common multiple (LCM) of 177 and 168 is 9912.
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 168?
First, calculate the GCD of 177 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 168 = 1 remainder 9 |
| 2 | 168 ÷ 9 = 18 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 81 | 162 |
| 37 and 71 | 2627 |
| 118 and 29 | 3422 |
| 179 and 141 | 25239 |
| 108 and 197 | 21276 |