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 |
|---|---|
| 140 and 26 | 1820 |
| 10 and 114 | 570 |
| 101 and 130 | 13130 |
| 149 and 113 | 16837 |
| 138 and 20 | 1380 |