Least Common Multiple (LCM) of 124 and 182
The least common multiple (LCM) of 124 and 182 is 11284.
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 182?
First, calculate the GCD of 124 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 182 = 0 remainder 124 |
| 2 | 182 ÷ 124 = 1 remainder 58 |
| 3 | 124 ÷ 58 = 2 remainder 8 |
| 4 | 58 ÷ 8 = 7 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 184 | 1288 |
| 126 and 38 | 2394 |
| 122 and 90 | 5490 |
| 75 and 50 | 150 |
| 158 and 89 | 14062 |