Least Common Multiple (LCM) of 159 and 190
The least common multiple (LCM) of 159 and 190 is 30210.
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 159 and 190?
First, calculate the GCD of 159 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 190 = 0 remainder 159 |
| 2 | 190 ÷ 159 = 1 remainder 31 |
| 3 | 159 ÷ 31 = 5 remainder 4 |
| 4 | 31 ÷ 4 = 7 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 132 | 5940 |
| 122 and 151 | 18422 |
| 12 and 110 | 660 |
| 195 and 157 | 30615 |
| 21 and 169 | 3549 |