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 |
|---|---|
| 110 and 86 | 4730 |
| 37 and 178 | 6586 |
| 113 and 173 | 19549 |
| 33 and 47 | 1551 |
| 59 and 11 | 649 |