Least Common Multiple (LCM) of 128 and 153
The least common multiple (LCM) of 128 and 153 is 19584.
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 153?
First, calculate the GCD of 128 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 153 = 0 remainder 128 |
| 2 | 153 ÷ 128 = 1 remainder 25 |
| 3 | 128 ÷ 25 = 5 remainder 3 |
| 4 | 25 ÷ 3 = 8 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 27 | 189 |
| 102 and 171 | 5814 |
| 64 and 62 | 1984 |
| 148 and 11 | 1628 |
| 170 and 182 | 15470 |