Least Common Multiple (LCM) of 131 and 183
The least common multiple (LCM) of 131 and 183 is 23973.
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 183?
First, calculate the GCD of 131 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 183 = 0 remainder 131 |
| 2 | 183 ÷ 131 = 1 remainder 52 |
| 3 | 131 ÷ 52 = 2 remainder 27 |
| 4 | 52 ÷ 27 = 1 remainder 25 |
| 5 | 27 ÷ 25 = 1 remainder 2 |
| 6 | 25 ÷ 2 = 12 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 150 | 6450 |
| 168 and 172 | 7224 |
| 152 and 152 | 152 |
| 128 and 78 | 4992 |
| 66 and 174 | 1914 |