Least Common Multiple (LCM) of 127 and 195
The least common multiple (LCM) of 127 and 195 is 24765.
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 195?
First, calculate the GCD of 127 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 195 = 0 remainder 127 |
| 2 | 195 ÷ 127 = 1 remainder 68 |
| 3 | 127 ÷ 68 = 1 remainder 59 |
| 4 | 68 ÷ 59 = 1 remainder 9 |
| 5 | 59 ÷ 9 = 6 remainder 5 |
| 6 | 9 ÷ 5 = 1 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 37 | 4329 |
| 68 and 73 | 4964 |
| 34 and 32 | 544 |
| 23 and 67 | 1541 |
| 171 and 28 | 4788 |