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 |
|---|---|
| 16 and 25 | 400 |
| 176 and 109 | 19184 |
| 166 and 164 | 13612 |
| 155 and 199 | 30845 |
| 155 and 79 | 12245 |