Least Common Multiple (LCM) of 95 and 128
The least common multiple (LCM) of 95 and 128 is 12160.
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 95 and 128?
First, calculate the GCD of 95 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 128 = 0 remainder 95 |
| 2 | 128 ÷ 95 = 1 remainder 33 |
| 3 | 95 ÷ 33 = 2 remainder 29 |
| 4 | 33 ÷ 29 = 1 remainder 4 |
| 5 | 29 ÷ 4 = 7 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 167 | 17535 |
| 184 and 45 | 8280 |
| 162 and 156 | 4212 |
| 116 and 160 | 4640 |
| 103 and 56 | 5768 |