Least Common Multiple (LCM) of 97 and 200
The least common multiple (LCM) of 97 and 200 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 97 and 200?
First, calculate the GCD of 97 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 200 = 0 remainder 97 |
| 2 | 200 ÷ 97 = 2 remainder 6 |
| 3 | 97 ÷ 6 = 16 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 196 | 19404 |
| 147 and 114 | 5586 |
| 150 and 159 | 7950 |
| 113 and 132 | 14916 |
| 52 and 145 | 7540 |