Least Common Multiple (LCM) of 108 and 54
The least common multiple (LCM) of 108 and 54 is 108.
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 108 and 54?
First, calculate the GCD of 108 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 54 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 71 | 9585 |
| 57 and 10 | 570 |
| 138 and 85 | 11730 |
| 121 and 36 | 4356 |
| 123 and 173 | 21279 |