Least Common Multiple (LCM) of 143 and 86
The least common multiple (LCM) of 143 and 86 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 143 and 86?
First, calculate the GCD of 143 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 86 = 1 remainder 57 |
| 2 | 86 ÷ 57 = 1 remainder 29 |
| 3 | 57 ÷ 29 = 1 remainder 28 |
| 4 | 29 ÷ 28 = 1 remainder 1 |
| 5 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 65 | 3510 |
| 31 and 76 | 2356 |
| 76 and 24 | 456 |
| 59 and 96 | 5664 |
| 100 and 74 | 3700 |