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 |
|---|---|
| 158 and 118 | 9322 |
| 188 and 109 | 20492 |
| 52 and 127 | 6604 |
| 64 and 10 | 320 |
| 122 and 150 | 9150 |