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 |
|---|---|
| 69 and 31 | 2139 |
| 165 and 99 | 495 |
| 125 and 191 | 23875 |
| 145 and 126 | 18270 |
| 134 and 162 | 10854 |