Least Common Multiple (LCM) of 131 and 184
The least common multiple (LCM) of 131 and 184 is 24104.
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 184?
First, calculate the GCD of 131 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 184 = 0 remainder 131 |
| 2 | 184 ÷ 131 = 1 remainder 53 |
| 3 | 131 ÷ 53 = 2 remainder 25 |
| 4 | 53 ÷ 25 = 2 remainder 3 |
| 5 | 25 ÷ 3 = 8 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 54 | 2214 |
| 25 and 90 | 450 |
| 75 and 125 | 375 |
| 47 and 17 | 799 |
| 151 and 92 | 13892 |