Least Common Multiple (LCM) of 143 and 87
The least common multiple (LCM) of 143 and 87 is 12441.
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 87?
First, calculate the GCD of 143 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 87 = 1 remainder 56 |
| 2 | 87 ÷ 56 = 1 remainder 31 |
| 3 | 56 ÷ 31 = 1 remainder 25 |
| 4 | 31 ÷ 25 = 1 remainder 6 |
| 5 | 25 ÷ 6 = 4 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 81 | 6156 |
| 183 and 183 | 183 |
| 129 and 176 | 22704 |
| 200 and 114 | 11400 |
| 13 and 32 | 416 |