Least Common Multiple (LCM) of 168 and 85
The least common multiple (LCM) of 168 and 85 is 14280.
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 85?
First, calculate the GCD of 168 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 85 = 1 remainder 83 |
| 2 | 85 ÷ 83 = 1 remainder 2 |
| 3 | 83 ÷ 2 = 41 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 122 | 12200 |
| 188 and 103 | 19364 |
| 84 and 103 | 8652 |
| 153 and 158 | 24174 |
| 94 and 97 | 9118 |