Least Common Multiple (LCM) of 131 and 168
The least common multiple (LCM) of 131 and 168 is 22008.
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 131 and 168?
First, calculate the GCD of 131 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 168 = 0 remainder 131 |
| 2 | 168 ÷ 131 = 1 remainder 37 |
| 3 | 131 ÷ 37 = 3 remainder 20 |
| 4 | 37 ÷ 20 = 1 remainder 17 |
| 5 | 20 ÷ 17 = 1 remainder 3 |
| 6 | 17 ÷ 3 = 5 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 60 | 780 |
| 144 and 42 | 1008 |
| 159 and 80 | 12720 |
| 72 and 176 | 1584 |
| 192 and 60 | 960 |