Least Common Multiple (LCM) of 48 and 95
The least common multiple (LCM) of 48 and 95 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 48 and 95?
First, calculate the GCD of 48 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 95 = 0 remainder 48 |
| 2 | 95 ÷ 48 = 1 remainder 47 |
| 3 | 48 ÷ 47 = 1 remainder 1 |
| 4 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 176 | 22000 |
| 109 and 120 | 13080 |
| 180 and 101 | 18180 |
| 80 and 173 | 13840 |
| 189 and 196 | 5292 |