Least Common Multiple (LCM) of 192 and 127
The least common multiple (LCM) of 192 and 127 is 24384.
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 127?
First, calculate the GCD of 192 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 127 = 1 remainder 65 |
| 2 | 127 ÷ 65 = 1 remainder 62 |
| 3 | 65 ÷ 62 = 1 remainder 3 |
| 4 | 62 ÷ 3 = 20 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 105 | 13335 |
| 184 and 61 | 11224 |
| 189 and 20 | 3780 |
| 200 and 146 | 14600 |
| 145 and 45 | 1305 |