Least Common Multiple (LCM) of 86 and 200
The least common multiple (LCM) of 86 and 200 is 8600.
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 86 and 200?
First, calculate the GCD of 86 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 200 = 0 remainder 86 |
| 2 | 200 ÷ 86 = 2 remainder 28 |
| 3 | 86 ÷ 28 = 3 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 40 | 3880 |
| 196 and 65 | 12740 |
| 131 and 38 | 4978 |
| 42 and 118 | 2478 |
| 12 and 105 | 420 |