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 |
|---|---|
| 177 and 17 | 3009 |
| 97 and 170 | 16490 |
| 158 and 27 | 4266 |
| 115 and 24 | 2760 |
| 169 and 59 | 9971 |