Least Common Multiple (LCM) of 163 and 143
The least common multiple (LCM) of 163 and 143 is 23309.
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 143?
First, calculate the GCD of 163 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 143 = 1 remainder 20 |
| 2 | 143 ÷ 20 = 7 remainder 3 |
| 3 | 20 ÷ 3 = 6 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 147 | 15141 |
| 49 and 179 | 8771 |
| 134 and 80 | 5360 |
| 61 and 61 | 61 |
| 72 and 86 | 3096 |