Least Common Multiple (LCM) of 163 and 95
The least common multiple (LCM) of 163 and 95 is 15485.
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 163 and 95?
First, calculate the GCD of 163 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 95 = 1 remainder 68 |
| 2 | 95 ÷ 68 = 1 remainder 27 |
| 3 | 68 ÷ 27 = 2 remainder 14 |
| 4 | 27 ÷ 14 = 1 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 70 | 420 |
| 165 and 59 | 9735 |
| 132 and 95 | 12540 |
| 159 and 181 | 28779 |
| 55 and 107 | 5885 |