Least Common Multiple (LCM) of 192 and 171
The least common multiple (LCM) of 192 and 171 is 10944.
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 192 and 171?
First, calculate the GCD of 192 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 171 = 1 remainder 21 |
| 2 | 171 ÷ 21 = 8 remainder 3 |
| 3 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 64 | 11584 |
| 88 and 35 | 3080 |
| 158 and 42 | 3318 |
| 112 and 200 | 2800 |
| 89 and 58 | 5162 |