Least Common Multiple (LCM) of 88 and 163
The least common multiple (LCM) of 88 and 163 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 88 and 163?
First, calculate the GCD of 88 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 163 = 0 remainder 88 |
| 2 | 163 ÷ 88 = 1 remainder 75 |
| 3 | 88 ÷ 75 = 1 remainder 13 |
| 4 | 75 ÷ 13 = 5 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 172 | 10836 |
| 189 and 156 | 9828 |
| 20 and 55 | 220 |
| 153 and 147 | 7497 |
| 192 and 72 | 576 |