Least Common Multiple (LCM) of 131 and 45
The least common multiple (LCM) of 131 and 45 is 5895.
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 45?
First, calculate the GCD of 131 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 45 = 2 remainder 41 |
| 2 | 45 ÷ 41 = 1 remainder 4 |
| 3 | 41 ÷ 4 = 10 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 137 | 14659 |
| 172 and 195 | 33540 |
| 80 and 49 | 3920 |
| 187 and 139 | 25993 |
| 82 and 56 | 2296 |