Least Common Multiple (LCM) of 124 and 143
The least common multiple (LCM) of 124 and 143 is 17732.
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 143?
First, calculate the GCD of 124 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 143 = 0 remainder 124 |
| 2 | 143 ÷ 124 = 1 remainder 19 |
| 3 | 124 ÷ 19 = 6 remainder 10 |
| 4 | 19 ÷ 10 = 1 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 23 | 2438 |
| 43 and 120 | 5160 |
| 44 and 178 | 3916 |
| 109 and 115 | 12535 |
| 44 and 14 | 308 |