Least Common Multiple (LCM) of 128 and 26
The least common multiple (LCM) of 128 and 26 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 26?
First, calculate the GCD of 128 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 26 = 4 remainder 24 |
| 2 | 26 ÷ 24 = 1 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 54 | 4644 |
| 173 and 186 | 32178 |
| 102 and 137 | 13974 |
| 116 and 78 | 4524 |
| 17 and 51 | 51 |