Least Common Multiple (LCM) of 131 and 145
The least common multiple (LCM) of 131 and 145 is 18995.
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 145?
First, calculate the GCD of 131 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 145 = 0 remainder 131 |
| 2 | 145 ÷ 131 = 1 remainder 14 |
| 3 | 131 ÷ 14 = 9 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 131 | 12314 |
| 27 and 30 | 270 |
| 53 and 114 | 6042 |
| 165 and 37 | 6105 |
| 21 and 192 | 1344 |