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 |
|---|---|
| 142 and 179 | 25418 |
| 60 and 95 | 1140 |
| 119 and 112 | 1904 |
| 145 and 103 | 14935 |
| 103 and 15 | 1545 |