Least Common Multiple (LCM) of 159 and 199
The least common multiple (LCM) of 159 and 199 is 31641.
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 199?
First, calculate the GCD of 159 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 199 = 0 remainder 159 |
| 2 | 199 ÷ 159 = 1 remainder 40 |
| 3 | 159 ÷ 40 = 3 remainder 39 |
| 4 | 40 ÷ 39 = 1 remainder 1 |
| 5 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 57 | 570 |
| 190 and 38 | 190 |
| 92 and 170 | 7820 |
| 126 and 168 | 504 |
| 71 and 185 | 13135 |