Least Common Multiple (LCM) of 200 and 197
The least common multiple (LCM) of 200 and 197 is 39400.
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 197?
First, calculate the GCD of 200 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 197 = 1 remainder 3 |
| 2 | 197 ÷ 3 = 65 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 134 | 14606 |
| 105 and 33 | 1155 |
| 115 and 123 | 14145 |
| 126 and 79 | 9954 |
| 121 and 165 | 1815 |