Least Common Multiple (LCM) of 124 and 141
The least common multiple (LCM) of 124 and 141 is 17484.
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 141?
First, calculate the GCD of 124 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 141 = 0 remainder 124 |
| 2 | 141 ÷ 124 = 1 remainder 17 |
| 3 | 124 ÷ 17 = 7 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 101 | 7070 |
| 34 and 189 | 6426 |
| 134 and 43 | 5762 |
| 17 and 75 | 1275 |
| 146 and 113 | 16498 |