Least Common Multiple (LCM) of 143 and 188
The least common multiple (LCM) of 143 and 188 is 26884.
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 188?
First, calculate the GCD of 143 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 188 = 0 remainder 143 |
| 2 | 188 ÷ 143 = 1 remainder 45 |
| 3 | 143 ÷ 45 = 3 remainder 8 |
| 4 | 45 ÷ 8 = 5 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 187 | 25058 |
| 188 and 191 | 35908 |
| 12 and 178 | 1068 |
| 131 and 69 | 9039 |
| 162 and 90 | 810 |