Least Common Multiple (LCM) of 47 and 86
The least common multiple (LCM) of 47 and 86 is 4042.
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 47 and 86?
First, calculate the GCD of 47 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 86 = 0 remainder 47 |
| 2 | 86 ÷ 47 = 1 remainder 39 |
| 3 | 47 ÷ 39 = 1 remainder 8 |
| 4 | 39 ÷ 8 = 4 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 184 | 1840 |
| 170 and 68 | 340 |
| 74 and 142 | 5254 |
| 56 and 191 | 10696 |
| 138 and 27 | 1242 |