Least Common Multiple (LCM) of 143 and 124
The least common multiple (LCM) of 143 and 124 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 143 and 124?
First, calculate the GCD of 143 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 124 = 1 remainder 19 |
| 2 | 124 ÷ 19 = 6 remainder 10 |
| 3 | 19 ÷ 10 = 1 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 22 | 2222 |
| 159 and 123 | 6519 |
| 86 and 69 | 5934 |
| 53 and 97 | 5141 |
| 121 and 195 | 23595 |