Least Common Multiple (LCM) of 182 and 131
The least common multiple (LCM) of 182 and 131 is 23842.
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 182 and 131?
First, calculate the GCD of 182 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 131 = 1 remainder 51 |
| 2 | 131 ÷ 51 = 2 remainder 29 |
| 3 | 51 ÷ 29 = 1 remainder 22 |
| 4 | 29 ÷ 22 = 1 remainder 7 |
| 5 | 22 ÷ 7 = 3 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 144 | 1008 |
| 94 and 11 | 1034 |
| 185 and 79 | 14615 |
| 72 and 102 | 1224 |
| 117 and 96 | 3744 |