Least Common Multiple (LCM) of 128 and 104
The least common multiple (LCM) of 128 and 104 is 1664.
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 128 and 104?
First, calculate the GCD of 128 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 104 = 1 remainder 24 |
| 2 | 104 ÷ 24 = 4 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 97 | 16684 |
| 170 and 83 | 14110 |
| 94 and 156 | 7332 |
| 165 and 141 | 7755 |
| 175 and 75 | 525 |