Least Common Multiple (LCM) of 82 and 166
The least common multiple (LCM) of 82 and 166 is 6806.
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 82 and 166?
First, calculate the GCD of 82 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 166 = 0 remainder 82 |
| 2 | 166 ÷ 82 = 2 remainder 2 |
| 3 | 82 ÷ 2 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 79 | 8769 |
| 139 and 106 | 14734 |
| 89 and 114 | 10146 |
| 93 and 29 | 2697 |
| 163 and 109 | 17767 |