Least Common Multiple (LCM) of 177 and 167
The least common multiple (LCM) of 177 and 167 is 29559.
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 167?
First, calculate the GCD of 177 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 167 = 1 remainder 10 |
| 2 | 167 ÷ 10 = 16 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 46 | 6026 |
| 54 and 82 | 2214 |
| 53 and 38 | 2014 |
| 126 and 47 | 5922 |
| 72 and 79 | 5688 |