Least Common Multiple (LCM) of 163 and 188
The least common multiple (LCM) of 163 and 188 is 30644.
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 188?
First, calculate the GCD of 163 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 188 = 0 remainder 163 |
| 2 | 188 ÷ 163 = 1 remainder 25 |
| 3 | 163 ÷ 25 = 6 remainder 13 |
| 4 | 25 ÷ 13 = 1 remainder 12 |
| 5 | 13 ÷ 12 = 1 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 61 | 7503 |
| 126 and 130 | 8190 |
| 103 and 23 | 2369 |
| 158 and 167 | 26386 |
| 87 and 62 | 5394 |