Least Common Multiple (LCM) of 199 and 159
The least common multiple (LCM) of 199 and 159 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 199 and 159?
First, calculate the GCD of 199 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 159 = 1 remainder 40 |
| 2 | 159 ÷ 40 = 3 remainder 39 |
| 3 | 40 ÷ 39 = 1 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 157 | 3454 |
| 13 and 47 | 611 |
| 159 and 149 | 23691 |
| 120 and 17 | 2040 |
| 33 and 127 | 4191 |