Least Common Multiple (LCM) of 200 and 90
The least common multiple (LCM) of 200 and 90 is 1800.
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 90?
First, calculate the GCD of 200 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 90 = 2 remainder 20 |
| 2 | 90 ÷ 20 = 4 remainder 10 |
| 3 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 167 | 17201 |
| 159 and 71 | 11289 |
| 120 and 102 | 2040 |
| 77 and 36 | 2772 |
| 147 and 25 | 3675 |