Least Common Multiple (LCM) of 131 and 73
The least common multiple (LCM) of 131 and 73 is 9563.
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 73?
First, calculate the GCD of 131 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 73 = 1 remainder 58 |
| 2 | 73 ÷ 58 = 1 remainder 15 |
| 3 | 58 ÷ 15 = 3 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 135 | 2565 |
| 54 and 130 | 3510 |
| 85 and 24 | 2040 |
| 198 and 159 | 10494 |
| 25 and 137 | 3425 |