Least Common Multiple (LCM) of 195 and 200
The least common multiple (LCM) of 195 and 200 is 7800.
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 195 and 200?
First, calculate the GCD of 195 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 200 = 0 remainder 195 |
| 2 | 200 ÷ 195 = 1 remainder 5 |
| 3 | 195 ÷ 5 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 183 | 15738 |
| 34 and 151 | 5134 |
| 81 and 92 | 7452 |
| 172 and 49 | 8428 |
| 49 and 80 | 3920 |