Least Common Multiple (LCM) of 192 and 159
The least common multiple (LCM) of 192 and 159 is 10176.
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 159?
First, calculate the GCD of 192 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 159 = 1 remainder 33 |
| 2 | 159 ÷ 33 = 4 remainder 27 |
| 3 | 33 ÷ 27 = 1 remainder 6 |
| 4 | 27 ÷ 6 = 4 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 42 | 4242 |
| 128 and 14 | 896 |
| 90 and 125 | 2250 |
| 154 and 166 | 12782 |
| 190 and 62 | 5890 |