Least Common Multiple (LCM) of 95 and 163
The least common multiple (LCM) of 95 and 163 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 95 and 163?
First, calculate the GCD of 95 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 163 = 0 remainder 95 |
| 2 | 163 ÷ 95 = 1 remainder 68 |
| 3 | 95 ÷ 68 = 1 remainder 27 |
| 4 | 68 ÷ 27 = 2 remainder 14 |
| 5 | 27 ÷ 14 = 1 remainder 13 |
| 6 | 14 ÷ 13 = 1 remainder 1 |
| 7 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 171 | 30609 |
| 184 and 178 | 16376 |
| 106 and 132 | 6996 |
| 200 and 115 | 4600 |
| 158 and 152 | 12008 |