Least Common Multiple (LCM) of 124 and 142
The least common multiple (LCM) of 124 and 142 is 8804.
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 142?
First, calculate the GCD of 124 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 142 = 0 remainder 124 |
| 2 | 142 ÷ 124 = 1 remainder 18 |
| 3 | 124 ÷ 18 = 6 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 50 | 1100 |
| 145 and 112 | 16240 |
| 105 and 69 | 2415 |
| 92 and 94 | 4324 |
| 126 and 108 | 756 |