Least Common Multiple (LCM) of 171 and 168
The least common multiple (LCM) of 171 and 168 is 9576.
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 168?
First, calculate the GCD of 171 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 168 = 1 remainder 3 |
| 2 | 168 ÷ 3 = 56 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 173 | 33043 |
| 122 and 43 | 5246 |
| 166 and 12 | 996 |
| 153 and 107 | 16371 |
| 64 and 86 | 2752 |