Least Common Multiple (LCM) of 64 and 127
The least common multiple (LCM) of 64 and 127 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 64 and 127?
First, calculate the GCD of 64 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 127 = 0 remainder 64 |
| 2 | 127 ÷ 64 = 1 remainder 63 |
| 3 | 64 ÷ 63 = 1 remainder 1 |
| 4 | 63 ÷ 1 = 63 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 130 | 4160 |
| 185 and 100 | 3700 |
| 39 and 68 | 2652 |
| 135 and 33 | 1485 |
| 195 and 149 | 29055 |