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 |
|---|---|
| 194 and 85 | 16490 |
| 189 and 145 | 27405 |
| 81 and 70 | 5670 |
| 63 and 194 | 12222 |
| 189 and 101 | 19089 |