Least Common Multiple (LCM) of 163 and 109
The least common multiple (LCM) of 163 and 109 is 17767.
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 109?
First, calculate the GCD of 163 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 109 = 1 remainder 54 |
| 2 | 109 ÷ 54 = 2 remainder 1 |
| 3 | 54 ÷ 1 = 54 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 99 | 17721 |
| 141 and 16 | 2256 |
| 121 and 11 | 121 |
| 11 and 160 | 1760 |
| 83 and 47 | 3901 |