Least Common Multiple (LCM) of 163 and 89
The least common multiple (LCM) of 163 and 89 is 14507.
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 89?
First, calculate the GCD of 163 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 89 = 1 remainder 74 |
| 2 | 89 ÷ 74 = 1 remainder 15 |
| 3 | 74 ÷ 15 = 4 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 168 | 7224 |
| 47 and 145 | 6815 |
| 100 and 10 | 100 |
| 167 and 36 | 6012 |
| 142 and 28 | 1988 |