Least Common Multiple (LCM) of 183 and 125
The least common multiple (LCM) of 183 and 125 is 22875.
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 125?
First, calculate the GCD of 183 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 125 = 1 remainder 58 |
| 2 | 125 ÷ 58 = 2 remainder 9 |
| 3 | 58 ÷ 9 = 6 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 103 | 10815 |
| 142 and 184 | 13064 |
| 72 and 147 | 3528 |
| 57 and 165 | 3135 |
| 198 and 123 | 8118 |