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 |
|---|---|
| 168 and 135 | 7560 |
| 174 and 112 | 9744 |
| 93 and 122 | 11346 |
| 140 and 97 | 13580 |
| 122 and 16 | 976 |