Least Common Multiple (LCM) of 193 and 131
The least common multiple (LCM) of 193 and 131 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 193 and 131?
First, calculate the GCD of 193 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 131 = 1 remainder 62 |
| 2 | 131 ÷ 62 = 2 remainder 7 |
| 3 | 62 ÷ 7 = 8 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 181 | 25883 |
| 122 and 49 | 5978 |
| 169 and 62 | 10478 |
| 35 and 44 | 1540 |
| 132 and 34 | 2244 |