Least Common Multiple (LCM) of 190 and 163
The least common multiple (LCM) of 190 and 163 is 30970.
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 190 and 163?
First, calculate the GCD of 190 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 163 = 1 remainder 27 |
| 2 | 163 ÷ 27 = 6 remainder 1 |
| 3 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 128 | 8320 |
| 34 and 113 | 3842 |
| 182 and 45 | 8190 |
| 86 and 114 | 4902 |
| 105 and 81 | 2835 |