Least Common Multiple (LCM) of 128 and 148
The least common multiple (LCM) of 128 and 148 is 4736.
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 148?
First, calculate the GCD of 128 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 148 = 0 remainder 128 |
| 2 | 148 ÷ 128 = 1 remainder 20 |
| 3 | 128 ÷ 20 = 6 remainder 8 |
| 4 | 20 ÷ 8 = 2 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 144 | 20592 |
| 151 and 35 | 5285 |
| 69 and 144 | 3312 |
| 127 and 14 | 1778 |
| 12 and 128 | 384 |