Least Common Multiple (LCM) of 128 and 52
The least common multiple (LCM) of 128 and 52 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 52?
First, calculate the GCD of 128 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 52 = 2 remainder 24 |
| 2 | 52 ÷ 24 = 2 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 195 | 7215 |
| 20 and 62 | 620 |
| 49 and 119 | 833 |
| 175 and 29 | 5075 |
| 21 and 110 | 2310 |