Least Common Multiple (LCM) of 42 and 86
The least common multiple (LCM) of 42 and 86 is 1806.
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 42 and 86?
First, calculate the GCD of 42 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 86 = 0 remainder 42 |
| 2 | 86 ÷ 42 = 2 remainder 2 |
| 3 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 28 | 224 |
| 84 and 23 | 1932 |
| 85 and 96 | 8160 |
| 126 and 116 | 7308 |
| 122 and 47 | 5734 |