Least Common Multiple (LCM) of 159 and 171
The least common multiple (LCM) of 159 and 171 is 9063.
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 171?
First, calculate the GCD of 159 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 171 = 0 remainder 159 |
| 2 | 171 ÷ 159 = 1 remainder 12 |
| 3 | 159 ÷ 12 = 13 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 100 | 1800 |
| 163 and 192 | 31296 |
| 77 and 157 | 12089 |
| 19 and 118 | 2242 |
| 123 and 41 | 123 |