Least Common Multiple (LCM) of 148 and 128
The least common multiple (LCM) of 148 and 128 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 148 and 128?
First, calculate the GCD of 148 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 128 = 1 remainder 20 |
| 2 | 128 ÷ 20 = 6 remainder 8 |
| 3 | 20 ÷ 8 = 2 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 69 | 345 |
| 113 and 66 | 7458 |
| 155 and 96 | 14880 |
| 193 and 82 | 15826 |
| 163 and 93 | 15159 |