Least Common Multiple (LCM) of 114 and 108
The least common multiple (LCM) of 114 and 108 is 2052.
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 108?
First, calculate the GCD of 114 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 108 = 1 remainder 6 |
| 2 | 108 ÷ 6 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 154 | 2772 |
| 169 and 185 | 31265 |
| 163 and 117 | 19071 |
| 72 and 32 | 288 |
| 33 and 148 | 4884 |