Least Common Multiple (LCM) of 200 and 200
The least common multiple (LCM) of 200 and 200 is 200.
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 200?
First, calculate the GCD of 200 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 200 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 142 | 25986 |
| 87 and 96 | 2784 |
| 165 and 140 | 4620 |
| 20 and 179 | 3580 |
| 154 and 137 | 21098 |