Least Common Multiple (LCM) of 145 and 163
The least common multiple (LCM) of 145 and 163 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 145 and 163?
First, calculate the GCD of 145 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 163 = 0 remainder 145 |
| 2 | 163 ÷ 145 = 1 remainder 18 |
| 3 | 145 ÷ 18 = 8 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 165 | 16665 |
| 87 and 37 | 3219 |
| 98 and 96 | 4704 |
| 38 and 43 | 1634 |
| 52 and 165 | 8580 |