Least Common Multiple (LCM) of 168 and 171
The least common multiple (LCM) of 168 and 171 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 168 and 171?
First, calculate the GCD of 168 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 171 = 0 remainder 168 |
| 2 | 171 ÷ 168 = 1 remainder 3 |
| 3 | 168 ÷ 3 = 56 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 64 | 192 |
| 30 and 111 | 1110 |
| 68 and 151 | 10268 |
| 64 and 177 | 11328 |
| 75 and 125 | 375 |