Least Common Multiple (LCM) of 143 and 129
The least common multiple (LCM) of 143 and 129 is 18447.
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 129?
First, calculate the GCD of 143 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 129 = 1 remainder 14 |
| 2 | 129 ÷ 14 = 9 remainder 3 |
| 3 | 14 ÷ 3 = 4 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 33 | 627 |
| 111 and 10 | 1110 |
| 87 and 32 | 2784 |
| 70 and 55 | 770 |
| 185 and 15 | 555 |