Least Common Multiple (LCM) of 200 and 89
The least common multiple (LCM) of 200 and 89 is 17800.
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 89?
First, calculate the GCD of 200 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 89 = 2 remainder 22 |
| 2 | 89 ÷ 22 = 4 remainder 1 |
| 3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 151 | 20385 |
| 118 and 25 | 2950 |
| 194 and 17 | 3298 |
| 88 and 161 | 14168 |
| 74 and 188 | 6956 |