Least Common Multiple (LCM) of 163 and 110
The least common multiple (LCM) of 163 and 110 is 17930.
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 110?
First, calculate the GCD of 163 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 110 = 1 remainder 53 |
| 2 | 110 ÷ 53 = 2 remainder 4 |
| 3 | 53 ÷ 4 = 13 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 115 | 10695 |
| 71 and 50 | 3550 |
| 40 and 198 | 3960 |
| 169 and 119 | 20111 |
| 197 and 93 | 18321 |