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 |
|---|---|
| 124 and 143 | 17732 |
| 10 and 172 | 860 |
| 194 and 105 | 20370 |
| 42 and 81 | 1134 |
| 101 and 118 | 11918 |