Least Common Multiple (LCM) of 163 and 140
The least common multiple (LCM) of 163 and 140 is 22820.
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 140?
First, calculate the GCD of 163 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 140 = 1 remainder 23 |
| 2 | 140 ÷ 23 = 6 remainder 2 |
| 3 | 23 ÷ 2 = 11 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 65 | 12610 |
| 188 and 31 | 5828 |
| 199 and 186 | 37014 |
| 114 and 75 | 2850 |
| 154 and 200 | 15400 |