Least Common Multiple (LCM) of 187 and 143
The least common multiple (LCM) of 187 and 143 is 2431.
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 187 and 143?
First, calculate the GCD of 187 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 143 = 1 remainder 44 |
| 2 | 143 ÷ 44 = 3 remainder 11 |
| 3 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 11 | 1408 |
| 147 and 62 | 9114 |
| 189 and 195 | 12285 |
| 35 and 67 | 2345 |
| 53 and 51 | 2703 |