Least Common Multiple (LCM) of 108 and 108
The least common multiple (LCM) of 108 and 108 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 108?
First, calculate the GCD of 108 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 108 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 174 | 9918 |
| 135 and 124 | 16740 |
| 169 and 75 | 12675 |
| 37 and 61 | 2257 |
| 159 and 75 | 3975 |