Least Common Multiple (LCM) of 128 and 88
The least common multiple (LCM) of 128 and 88 is 1408.
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 88?
First, calculate the GCD of 128 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 88 = 1 remainder 40 |
| 2 | 88 ÷ 40 = 2 remainder 8 |
| 3 | 40 ÷ 8 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 116 | 18676 |
| 195 and 99 | 6435 |
| 89 and 117 | 10413 |
| 103 and 97 | 9991 |
| 34 and 74 | 1258 |