Least Common Multiple (LCM) of 200 and 184
The least common multiple (LCM) of 200 and 184 is 4600.
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 200 and 184?
First, calculate the GCD of 200 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 184 = 1 remainder 16 |
| 2 | 184 ÷ 16 = 11 remainder 8 |
| 3 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 60 | 6060 |
| 63 and 111 | 2331 |
| 34 and 96 | 1632 |
| 106 and 110 | 5830 |
| 79 and 99 | 7821 |