Least Common Multiple (LCM) of 73 and 128
The least common multiple (LCM) of 73 and 128 is 9344.
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 73 and 128?
First, calculate the GCD of 73 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 128 = 0 remainder 73 |
| 2 | 128 ÷ 73 = 1 remainder 55 |
| 3 | 73 ÷ 55 = 1 remainder 18 |
| 4 | 55 ÷ 18 = 3 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 11 | 1980 |
| 144 and 194 | 13968 |
| 105 and 62 | 6510 |
| 96 and 154 | 7392 |
| 166 and 83 | 166 |