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 |
|---|---|
| 70 and 106 | 3710 |
| 200 and 67 | 13400 |
| 25 and 134 | 3350 |
| 92 and 165 | 15180 |
| 181 and 112 | 20272 |