Least Common Multiple (LCM) of 114 and 168
The least common multiple (LCM) of 114 and 168 is 3192.
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 114 and 168?
First, calculate the GCD of 114 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 168 = 0 remainder 114 |
| 2 | 168 ÷ 114 = 1 remainder 54 |
| 3 | 114 ÷ 54 = 2 remainder 6 |
| 4 | 54 ÷ 6 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 52 | 4524 |
| 56 and 144 | 1008 |
| 144 and 197 | 28368 |
| 147 and 95 | 13965 |
| 199 and 45 | 8955 |