Least Common Multiple (LCM) of 124 and 126
The least common multiple (LCM) of 124 and 126 is 7812.
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 124 and 126?
First, calculate the GCD of 124 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 126 = 0 remainder 124 |
| 2 | 126 ÷ 124 = 1 remainder 2 |
| 3 | 124 ÷ 2 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 163 | 28525 |
| 140 and 22 | 1540 |
| 55 and 115 | 1265 |
| 105 and 23 | 2415 |
| 72 and 162 | 648 |