Least Common Multiple (LCM) of 131 and 193
The least common multiple (LCM) of 131 and 193 is 25283.
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 193?
First, calculate the GCD of 131 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 193 = 0 remainder 131 |
| 2 | 193 ÷ 131 = 1 remainder 62 |
| 3 | 131 ÷ 62 = 2 remainder 7 |
| 4 | 62 ÷ 7 = 8 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 102 | 7548 |
| 127 and 191 | 24257 |
| 57 and 115 | 6555 |
| 52 and 128 | 1664 |
| 107 and 51 | 5457 |