Least Common Multiple (LCM) of 61 and 86
The least common multiple (LCM) of 61 and 86 is 5246.
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 61 and 86?
First, calculate the GCD of 61 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 86 = 0 remainder 61 |
| 2 | 86 ÷ 61 = 1 remainder 25 |
| 3 | 61 ÷ 25 = 2 remainder 11 |
| 4 | 25 ÷ 11 = 2 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 105 | 3885 |
| 142 and 56 | 3976 |
| 107 and 190 | 20330 |
| 135 and 75 | 675 |
| 191 and 104 | 19864 |