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 |
|---|---|
| 85 and 143 | 12155 |
| 154 and 108 | 8316 |
| 145 and 121 | 17545 |
| 147 and 178 | 26166 |
| 196 and 87 | 17052 |