Least Common Multiple (LCM) of 142 and 190
The least common multiple (LCM) of 142 and 190 is 13490.
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 142 and 190?
First, calculate the GCD of 142 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 190 = 0 remainder 142 |
| 2 | 190 ÷ 142 = 1 remainder 48 |
| 3 | 142 ÷ 48 = 2 remainder 46 |
| 4 | 48 ÷ 46 = 1 remainder 2 |
| 5 | 46 ÷ 2 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 110 | 990 |
| 104 and 41 | 4264 |
| 47 and 59 | 2773 |
| 71 and 122 | 8662 |
| 176 and 48 | 528 |