Least Common Multiple (LCM) of 163 and 88
The least common multiple (LCM) of 163 and 88 is 14344.
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 88?
First, calculate the GCD of 163 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 88 = 1 remainder 75 |
| 2 | 88 ÷ 75 = 1 remainder 13 |
| 3 | 75 ÷ 13 = 5 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 176 | 5456 |
| 13 and 23 | 299 |
| 104 and 191 | 19864 |
| 98 and 96 | 4704 |
| 98 and 97 | 9506 |