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 |
|---|---|
| 120 and 73 | 8760 |
| 151 and 81 | 12231 |
| 106 and 76 | 4028 |
| 24 and 174 | 696 |
| 85 and 70 | 1190 |