Least Common Multiple (LCM) of 87 and 143
The least common multiple (LCM) of 87 and 143 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 87 and 143?
First, calculate the GCD of 87 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 143 = 0 remainder 87 |
| 2 | 143 ÷ 87 = 1 remainder 56 |
| 3 | 87 ÷ 56 = 1 remainder 31 |
| 4 | 56 ÷ 31 = 1 remainder 25 |
| 5 | 31 ÷ 25 = 1 remainder 6 |
| 6 | 25 ÷ 6 = 4 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 75 | 300 |
| 154 and 199 | 30646 |
| 142 and 100 | 7100 |
| 174 and 71 | 12354 |
| 73 and 158 | 11534 |