Least Common Multiple (LCM) of 183 and 23
The least common multiple (LCM) of 183 and 23 is 4209.
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 23?
First, calculate the GCD of 183 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 23 = 7 remainder 22 |
| 2 | 23 ÷ 22 = 1 remainder 1 |
| 3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 181 | 35295 |
| 25 and 99 | 2475 |
| 97 and 88 | 8536 |
| 20 and 130 | 260 |
| 187 and 24 | 4488 |