Least Common Multiple (LCM) of 128 and 95
The least common multiple (LCM) of 128 and 95 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 128 and 95?
First, calculate the GCD of 128 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 95 = 1 remainder 33 |
| 2 | 95 ÷ 33 = 2 remainder 29 |
| 3 | 33 ÷ 29 = 1 remainder 4 |
| 4 | 29 ÷ 4 = 7 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 79 | 7268 |
| 169 and 176 | 29744 |
| 115 and 40 | 920 |
| 80 and 103 | 8240 |
| 175 and 55 | 1925 |