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 |
|---|---|
| 103 and 139 | 14317 |
| 119 and 44 | 5236 |
| 122 and 83 | 10126 |
| 31 and 70 | 2170 |
| 174 and 108 | 3132 |