Least Common Multiple (LCM) of 195 and 159
The least common multiple (LCM) of 195 and 159 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 195 and 159?
First, calculate the GCD of 195 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 159 = 1 remainder 36 |
| 2 | 159 ÷ 36 = 4 remainder 15 |
| 3 | 36 ÷ 15 = 2 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 18 | 774 |
| 195 and 167 | 32565 |
| 90 and 129 | 3870 |
| 112 and 107 | 11984 |
| 140 and 91 | 1820 |