Least Common Multiple (LCM) of 200 and 190
The least common multiple (LCM) of 200 and 190 is 3800.
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 190?
First, calculate the GCD of 200 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 190 = 1 remainder 10 |
| 2 | 190 ÷ 10 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 88 | 5720 |
| 103 and 91 | 9373 |
| 85 and 130 | 2210 |
| 32 and 40 | 160 |
| 200 and 10 | 200 |