Least Common Multiple (LCM) of 200 and 196
The least common multiple (LCM) of 200 and 196 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 200 and 196?
First, calculate the GCD of 200 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 196 = 1 remainder 4 |
| 2 | 196 ÷ 4 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 161 | 22057 |
| 168 and 74 | 6216 |
| 117 and 113 | 13221 |
| 106 and 127 | 13462 |
| 32 and 29 | 928 |