Least Common Multiple (LCM) of 200 and 102
The least common multiple (LCM) of 200 and 102 is 10200.
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 102?
First, calculate the GCD of 200 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 102 = 1 remainder 98 |
| 2 | 102 ÷ 98 = 1 remainder 4 |
| 3 | 98 ÷ 4 = 24 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 49 | 8281 |
| 135 and 98 | 13230 |
| 87 and 60 | 1740 |
| 48 and 80 | 240 |
| 174 and 27 | 1566 |