Least Common Multiple (LCM) of 171 and 167
The least common multiple (LCM) of 171 and 167 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 171 and 167?
First, calculate the GCD of 171 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 167 = 1 remainder 4 |
| 2 | 167 ÷ 4 = 41 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 47 | 7755 |
| 28 and 114 | 1596 |
| 56 and 31 | 1736 |
| 148 and 14 | 1036 |
| 49 and 119 | 833 |