Least Common Multiple (LCM) of 86 and 143
The least common multiple (LCM) of 86 and 143 is 12298.
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 143?
First, calculate the GCD of 86 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 143 = 0 remainder 86 |
| 2 | 143 ÷ 86 = 1 remainder 57 |
| 3 | 86 ÷ 57 = 1 remainder 29 |
| 4 | 57 ÷ 29 = 1 remainder 28 |
| 5 | 29 ÷ 28 = 1 remainder 1 |
| 6 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 65 | 260 |
| 194 and 133 | 25802 |
| 104 and 166 | 8632 |
| 34 and 46 | 782 |
| 139 and 49 | 6811 |