Least Common Multiple (LCM) of 64 and 126
The least common multiple (LCM) of 64 and 126 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 64 and 126?
First, calculate the GCD of 64 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 126 = 0 remainder 64 |
| 2 | 126 ÷ 64 = 1 remainder 62 |
| 3 | 64 ÷ 62 = 1 remainder 2 |
| 4 | 62 ÷ 2 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 99 | 13563 |
| 22 and 164 | 1804 |
| 33 and 42 | 462 |
| 49 and 186 | 9114 |
| 147 and 23 | 3381 |