Least Common Multiple (LCM) of 168 and 159
The least common multiple (LCM) of 168 and 159 is 8904.
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 168 and 159?
First, calculate the GCD of 168 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 159 = 1 remainder 9 |
| 2 | 159 ÷ 9 = 17 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 17 | 3162 |
| 130 and 159 | 20670 |
| 156 and 16 | 624 |
| 152 and 123 | 18696 |
| 137 and 137 | 137 |