Least Common Multiple (LCM) of 159 and 197
The least common multiple (LCM) of 159 and 197 is 31323.
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 197?
First, calculate the GCD of 159 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 197 = 0 remainder 159 |
| 2 | 197 ÷ 159 = 1 remainder 38 |
| 3 | 159 ÷ 38 = 4 remainder 7 |
| 4 | 38 ÷ 7 = 5 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 185 | 3515 |
| 103 and 81 | 8343 |
| 170 and 60 | 1020 |
| 109 and 45 | 4905 |
| 146 and 51 | 7446 |