Least Common Multiple (LCM) of 168 and 82
The least common multiple (LCM) of 168 and 82 is 6888.
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 168 and 82?
First, calculate the GCD of 168 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 82 = 2 remainder 4 |
| 2 | 82 ÷ 4 = 20 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 64 | 832 |
| 57 and 60 | 1140 |
| 114 and 136 | 7752 |
| 99 and 114 | 3762 |
| 106 and 60 | 3180 |