Least Common Multiple (LCM) of 200 and 131
The least common multiple (LCM) of 200 and 131 is 26200.
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 131?
First, calculate the GCD of 200 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 131 = 1 remainder 69 |
| 2 | 131 ÷ 69 = 1 remainder 62 |
| 3 | 69 ÷ 62 = 1 remainder 7 |
| 4 | 62 ÷ 7 = 8 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 51 | 5712 |
| 181 and 12 | 2172 |
| 93 and 94 | 8742 |
| 172 and 173 | 29756 |
| 116 and 149 | 17284 |