Least Common Multiple (LCM) of 108 and 104
The least common multiple (LCM) of 108 and 104 is 2808.
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 104?
First, calculate the GCD of 108 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 104 = 1 remainder 4 |
| 2 | 104 ÷ 4 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 14 | 2422 |
| 160 and 126 | 10080 |
| 120 and 158 | 9480 |
| 117 and 183 | 7137 |
| 109 and 24 | 2616 |