Least Common Multiple (LCM) of 184 and 200
The least common multiple (LCM) of 184 and 200 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 184 and 200?
First, calculate the GCD of 184 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 200 = 0 remainder 184 |
| 2 | 200 ÷ 184 = 1 remainder 16 |
| 3 | 184 ÷ 16 = 11 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 144 | 1584 |
| 165 and 32 | 5280 |
| 57 and 100 | 5700 |
| 97 and 19 | 1843 |
| 155 and 111 | 17205 |