Least Common Multiple (LCM) of 126 and 64
The least common multiple (LCM) of 126 and 64 is 4032.
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 126 and 64?
First, calculate the GCD of 126 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 64 = 1 remainder 62 |
| 2 | 64 ÷ 62 = 1 remainder 2 |
| 3 | 62 ÷ 2 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 185 | 1110 |
| 105 and 41 | 4305 |
| 149 and 127 | 18923 |
| 103 and 32 | 3296 |
| 51 and 26 | 1326 |