Least Common Multiple (LCM) of 163 and 190
The least common multiple (LCM) of 163 and 190 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 163 and 190?
First, calculate the GCD of 163 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 190 = 0 remainder 163 |
| 2 | 190 ÷ 163 = 1 remainder 27 |
| 3 | 163 ÷ 27 = 6 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 171 | 26334 |
| 77 and 77 | 77 |
| 100 and 44 | 1100 |
| 29 and 149 | 4321 |
| 42 and 140 | 420 |