Least Common Multiple (LCM) of 167 and 171
The least common multiple (LCM) of 167 and 171 is 28557.
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 167 and 171?
First, calculate the GCD of 167 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 171 = 0 remainder 167 |
| 2 | 171 ÷ 167 = 1 remainder 4 |
| 3 | 167 ÷ 4 = 41 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 113 | 14238 |
| 29 and 56 | 1624 |
| 66 and 135 | 2970 |
| 177 and 63 | 3717 |
| 126 and 56 | 504 |