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 |
|---|---|
| 114 and 189 | 7182 |
| 129 and 184 | 23736 |
| 167 and 137 | 22879 |
| 117 and 43 | 5031 |
| 63 and 19 | 1197 |