Least Common Multiple (LCM) of 128 and 173
The least common multiple (LCM) of 128 and 173 is 22144.
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 173?
First, calculate the GCD of 128 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 173 = 0 remainder 128 |
| 2 | 173 ÷ 128 = 1 remainder 45 |
| 3 | 128 ÷ 45 = 2 remainder 38 |
| 4 | 45 ÷ 38 = 1 remainder 7 |
| 5 | 38 ÷ 7 = 5 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 44 | 660 |
| 157 and 191 | 29987 |
| 175 and 130 | 4550 |
| 157 and 183 | 28731 |
| 76 and 40 | 760 |