Least Common Multiple (LCM) of 163 and 145
The least common multiple (LCM) of 163 and 145 is 23635.
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 145?
First, calculate the GCD of 163 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 145 = 1 remainder 18 |
| 2 | 145 ÷ 18 = 8 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 159 | 5883 |
| 145 and 115 | 3335 |
| 186 and 37 | 6882 |
| 146 and 122 | 8906 |
| 48 and 11 | 528 |