Least Common Multiple (LCM) of 163 and 130
The least common multiple (LCM) of 163 and 130 is 21190.
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 130?
First, calculate the GCD of 163 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 130 = 1 remainder 33 |
| 2 | 130 ÷ 33 = 3 remainder 31 |
| 3 | 33 ÷ 31 = 1 remainder 2 |
| 4 | 31 ÷ 2 = 15 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 168 | 1680 |
| 22 and 41 | 902 |
| 60 and 90 | 180 |
| 123 and 57 | 2337 |
| 56 and 190 | 5320 |