Least Common Multiple (LCM) of 92 and 131
The least common multiple (LCM) of 92 and 131 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 92 and 131?
First, calculate the GCD of 92 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 131 = 0 remainder 92 |
| 2 | 131 ÷ 92 = 1 remainder 39 |
| 3 | 92 ÷ 39 = 2 remainder 14 |
| 4 | 39 ÷ 14 = 2 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 169 | 28054 |
| 116 and 37 | 4292 |
| 186 and 180 | 5580 |
| 138 and 58 | 4002 |
| 112 and 178 | 9968 |