Least Common Multiple (LCM) of 86 and 166
The least common multiple (LCM) of 86 and 166 is 7138.
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 166?
First, calculate the GCD of 86 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 166 = 0 remainder 86 |
| 2 | 166 ÷ 86 = 1 remainder 80 |
| 3 | 86 ÷ 80 = 1 remainder 6 |
| 4 | 80 ÷ 6 = 13 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 56 | 9240 |
| 87 and 190 | 16530 |
| 131 and 126 | 16506 |
| 102 and 33 | 1122 |
| 85 and 111 | 9435 |