Least Common Multiple (LCM) of 183 and 92
The least common multiple (LCM) of 183 and 92 is 16836.
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 183 and 92?
First, calculate the GCD of 183 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 92 = 1 remainder 91 |
| 2 | 92 ÷ 91 = 1 remainder 1 |
| 3 | 91 ÷ 1 = 91 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 130 | 15990 |
| 113 and 66 | 7458 |
| 148 and 44 | 1628 |
| 140 and 131 | 18340 |
| 84 and 127 | 10668 |