Least Common Multiple (LCM) of 86 and 130
The least common multiple (LCM) of 86 and 130 is 5590.
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 130?
First, calculate the GCD of 86 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 130 = 0 remainder 86 |
| 2 | 130 ÷ 86 = 1 remainder 44 |
| 3 | 86 ÷ 44 = 1 remainder 42 |
| 4 | 44 ÷ 42 = 1 remainder 2 |
| 5 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 128 | 4992 |
| 95 and 45 | 855 |
| 55 and 182 | 10010 |
| 96 and 154 | 7392 |
| 101 and 77 | 7777 |