Least Common Multiple (LCM) of 159 and 195
The least common multiple (LCM) of 159 and 195 is 10335.
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 195?
First, calculate the GCD of 159 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 195 = 0 remainder 159 |
| 2 | 195 ÷ 159 = 1 remainder 36 |
| 3 | 159 ÷ 36 = 4 remainder 15 |
| 4 | 36 ÷ 15 = 2 remainder 6 |
| 5 | 15 ÷ 6 = 2 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 55 | 8965 |
| 181 and 107 | 19367 |
| 116 and 157 | 18212 |
| 103 and 93 | 9579 |
| 12 and 175 | 2100 |