Least Common Multiple (LCM) of 127 and 194
The least common multiple (LCM) of 127 and 194 is 24638.
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 194?
First, calculate the GCD of 127 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 194 = 0 remainder 127 |
| 2 | 194 ÷ 127 = 1 remainder 67 |
| 3 | 127 ÷ 67 = 1 remainder 60 |
| 4 | 67 ÷ 60 = 1 remainder 7 |
| 5 | 60 ÷ 7 = 8 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 174 | 7482 |
| 157 and 131 | 20567 |
| 43 and 54 | 2322 |
| 85 and 38 | 3230 |
| 127 and 162 | 20574 |