Least Common Multiple (LCM) of 128 and 92
The least common multiple (LCM) of 128 and 92 is 2944.
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 92?
First, calculate the GCD of 128 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 92 = 1 remainder 36 |
| 2 | 92 ÷ 36 = 2 remainder 20 |
| 3 | 36 ÷ 20 = 1 remainder 16 |
| 4 | 20 ÷ 16 = 1 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 102 | 18258 |
| 181 and 55 | 9955 |
| 47 and 60 | 2820 |
| 137 and 88 | 12056 |
| 80 and 153 | 12240 |