Least Common Multiple (LCM) of 177 and 192
The least common multiple (LCM) of 177 and 192 is 11328.
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 192?
First, calculate the GCD of 177 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 192 = 0 remainder 177 |
| 2 | 192 ÷ 177 = 1 remainder 15 |
| 3 | 177 ÷ 15 = 11 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 101 | 8080 |
| 143 and 59 | 8437 |
| 162 and 69 | 3726 |
| 14 and 150 | 1050 |
| 77 and 105 | 1155 |