Least Common Multiple (LCM) of 127 and 192
The least common multiple (LCM) of 127 and 192 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 127 and 192?
First, calculate the GCD of 127 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 192 = 0 remainder 127 |
| 2 | 192 ÷ 127 = 1 remainder 65 |
| 3 | 127 ÷ 65 = 1 remainder 62 |
| 4 | 65 ÷ 62 = 1 remainder 3 |
| 5 | 62 ÷ 3 = 20 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 16 | 336 |
| 27 and 93 | 837 |
| 91 and 107 | 9737 |
| 78 and 165 | 4290 |
| 57 and 95 | 285 |