Least Common Multiple (LCM) of 163 and 85
The least common multiple (LCM) of 163 and 85 is 13855.
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 85?
First, calculate the GCD of 163 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 85 = 1 remainder 78 |
| 2 | 85 ÷ 78 = 1 remainder 7 |
| 3 | 78 ÷ 7 = 11 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 132 | 17292 |
| 148 and 144 | 5328 |
| 146 and 179 | 26134 |
| 112 and 135 | 15120 |
| 160 and 123 | 19680 |