Least Common Multiple (LCM) of 168 and 102
The least common multiple (LCM) of 168 and 102 is 2856.
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 102?
First, calculate the GCD of 168 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 102 = 1 remainder 66 |
| 2 | 102 ÷ 66 = 1 remainder 36 |
| 3 | 66 ÷ 36 = 1 remainder 30 |
| 4 | 36 ÷ 30 = 1 remainder 6 |
| 5 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 94 | 7238 |
| 126 and 157 | 19782 |
| 31 and 198 | 6138 |
| 162 and 151 | 24462 |
| 75 and 200 | 600 |