Least Common Multiple (LCM) of 86 and 60
The least common multiple (LCM) of 86 and 60 is 2580.
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 60?
First, calculate the GCD of 86 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 60 = 1 remainder 26 |
| 2 | 60 ÷ 26 = 2 remainder 8 |
| 3 | 26 ÷ 8 = 3 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 181 | 5611 |
| 74 and 81 | 5994 |
| 120 and 72 | 360 |
| 118 and 138 | 8142 |
| 109 and 104 | 11336 |