Least Common Multiple (LCM) of 131 and 192
The least common multiple (LCM) of 131 and 192 is 25152.
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 192?
First, calculate the GCD of 131 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 192 = 0 remainder 131 |
| 2 | 192 ÷ 131 = 1 remainder 61 |
| 3 | 131 ÷ 61 = 2 remainder 9 |
| 4 | 61 ÷ 9 = 6 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 198 | 12870 |
| 165 and 191 | 31515 |
| 73 and 168 | 12264 |
| 50 and 125 | 250 |
| 22 and 84 | 924 |