Least Common Multiple (LCM) of 168 and 170
The least common multiple (LCM) of 168 and 170 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 170?
First, calculate the GCD of 168 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 170 = 0 remainder 168 |
| 2 | 170 ÷ 168 = 1 remainder 2 |
| 3 | 168 ÷ 2 = 84 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 50 | 4800 |
| 185 and 119 | 22015 |
| 146 and 156 | 11388 |
| 67 and 133 | 8911 |
| 140 and 118 | 8260 |