Least Common Multiple (LCM) of 183 and 200
The least common multiple (LCM) of 183 and 200 is 36600.
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 200?
First, calculate the GCD of 183 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 200 = 0 remainder 183 |
| 2 | 200 ÷ 183 = 1 remainder 17 |
| 3 | 183 ÷ 17 = 10 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 154 | 2926 |
| 121 and 124 | 15004 |
| 125 and 132 | 16500 |
| 149 and 55 | 8195 |
| 57 and 127 | 7239 |