Least Common Multiple (LCM) of 95 and 48
The least common multiple (LCM) of 95 and 48 is 4560.
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 48?
First, calculate the GCD of 95 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 48 = 1 remainder 47 |
| 2 | 48 ÷ 47 = 1 remainder 1 |
| 3 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 71 | 13987 |
| 138 and 175 | 24150 |
| 195 and 132 | 8580 |
| 31 and 78 | 2418 |
| 125 and 103 | 12875 |