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 |
|---|---|
| 105 and 131 | 13755 |
| 150 and 109 | 16350 |
| 176 and 48 | 528 |
| 151 and 98 | 14798 |
| 16 and 180 | 720 |