Least Common Multiple (LCM) of 131 and 185
The least common multiple (LCM) of 131 and 185 is 24235.
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 185?
First, calculate the GCD of 131 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 185 = 0 remainder 131 |
| 2 | 185 ÷ 131 = 1 remainder 54 |
| 3 | 131 ÷ 54 = 2 remainder 23 |
| 4 | 54 ÷ 23 = 2 remainder 8 |
| 5 | 23 ÷ 8 = 2 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 67 | 1005 |
| 84 and 103 | 8652 |
| 153 and 27 | 459 |
| 187 and 36 | 6732 |
| 120 and 120 | 120 |