Least Common Multiple (LCM) of 196 and 200
The least common multiple (LCM) of 196 and 200 is 9800.
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 196 and 200?
First, calculate the GCD of 196 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 200 = 0 remainder 196 |
| 2 | 200 ÷ 196 = 1 remainder 4 |
| 3 | 196 ÷ 4 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 160 | 10720 |
| 130 and 160 | 2080 |
| 131 and 119 | 15589 |
| 150 and 194 | 14550 |
| 84 and 89 | 7476 |