Least Common Multiple (LCM) of 91 and 200
The least common multiple (LCM) of 91 and 200 is 18200.
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 91 and 200?
First, calculate the GCD of 91 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 200 = 0 remainder 91 |
| 2 | 200 ÷ 91 = 2 remainder 18 |
| 3 | 91 ÷ 18 = 5 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 97 | 14259 |
| 165 and 138 | 7590 |
| 97 and 75 | 7275 |
| 190 and 82 | 7790 |
| 165 and 170 | 5610 |