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 |
|---|---|
| 122 and 90 | 5490 |
| 182 and 84 | 1092 |
| 90 and 152 | 6840 |
| 171 and 195 | 11115 |
| 101 and 160 | 16160 |