Least Common Multiple (LCM) of 131 and 182
The least common multiple (LCM) of 131 and 182 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 131 and 182?
First, calculate the GCD of 131 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 182 = 0 remainder 131 |
| 2 | 182 ÷ 131 = 1 remainder 51 |
| 3 | 131 ÷ 51 = 2 remainder 29 |
| 4 | 51 ÷ 29 = 1 remainder 22 |
| 5 | 29 ÷ 22 = 1 remainder 7 |
| 6 | 22 ÷ 7 = 3 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 32 | 3936 |
| 54 and 191 | 10314 |
| 45 and 23 | 1035 |
| 152 and 117 | 17784 |
| 37 and 105 | 3885 |