Least Common Multiple (LCM) of 127 and 64
The least common multiple (LCM) of 127 and 64 is 8128.
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 64?
First, calculate the GCD of 127 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 64 = 1 remainder 63 |
| 2 | 64 ÷ 63 = 1 remainder 1 |
| 3 | 63 ÷ 1 = 63 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 23 | 1012 |
| 102 and 68 | 204 |
| 170 and 76 | 6460 |
| 168 and 36 | 504 |
| 166 and 177 | 29382 |