Least Common Multiple (LCM) of 131 and 92
The least common multiple (LCM) of 131 and 92 is 12052.
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 92?
First, calculate the GCD of 131 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 92 = 1 remainder 39 |
| 2 | 92 ÷ 39 = 2 remainder 14 |
| 3 | 39 ÷ 14 = 2 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 180 | 31140 |
| 29 and 36 | 1044 |
| 199 and 86 | 17114 |
| 116 and 39 | 4524 |
| 37 and 193 | 7141 |