Least Common Multiple (LCM) of 200 and 180
The least common multiple (LCM) of 200 and 180 is 1800.
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 180?
First, calculate the GCD of 200 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 180 = 1 remainder 20 |
| 2 | 180 ÷ 20 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 168 | 33432 |
| 37 and 166 | 6142 |
| 116 and 68 | 1972 |
| 163 and 186 | 30318 |
| 136 and 98 | 6664 |