Least Common Multiple (LCM) of 143 and 190
The least common multiple (LCM) of 143 and 190 is 27170.
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 190?
First, calculate the GCD of 143 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 190 = 0 remainder 143 |
| 2 | 190 ÷ 143 = 1 remainder 47 |
| 3 | 143 ÷ 47 = 3 remainder 2 |
| 4 | 47 ÷ 2 = 23 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 21 | 966 |
| 138 and 14 | 966 |
| 50 and 104 | 2600 |
| 97 and 177 | 17169 |
| 90 and 168 | 2520 |