Least Common Multiple (LCM) of 200 and 58
The least common multiple (LCM) of 200 and 58 is 5800.
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 58?
First, calculate the GCD of 200 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 58 = 3 remainder 26 |
| 2 | 58 ÷ 26 = 2 remainder 6 |
| 3 | 26 ÷ 6 = 4 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 144 | 576 |
| 85 and 187 | 935 |
| 83 and 179 | 14857 |
| 52 and 70 | 1820 |
| 174 and 47 | 8178 |