Least Common Multiple (LCM) of 200 and 97
The least common multiple (LCM) of 200 and 97 is 19400.
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 97?
First, calculate the GCD of 200 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 97 = 2 remainder 6 |
| 2 | 97 ÷ 6 = 16 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 100 | 2100 |
| 200 and 43 | 8600 |
| 177 and 137 | 24249 |
| 188 and 178 | 16732 |
| 95 and 175 | 3325 |