Least Common Multiple (LCM) of 86 and 30
The least common multiple (LCM) of 86 and 30 is 1290.
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 30?
First, calculate the GCD of 86 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 30 = 2 remainder 26 |
| 2 | 30 ÷ 26 = 1 remainder 4 |
| 3 | 26 ÷ 4 = 6 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 175 | 11900 |
| 39 and 122 | 4758 |
| 191 and 96 | 18336 |
| 61 and 64 | 3904 |
| 102 and 186 | 3162 |