Least Common Multiple (LCM) of 168 and 114
The least common multiple (LCM) of 168 and 114 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 168 and 114?
First, calculate the GCD of 168 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 114 = 1 remainder 54 |
| 2 | 114 ÷ 54 = 2 remainder 6 |
| 3 | 54 ÷ 6 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 23 | 138 |
| 152 and 132 | 5016 |
| 129 and 49 | 6321 |
| 147 and 91 | 1911 |
| 59 and 144 | 8496 |