Least Common Multiple (LCM) of 63 and 163
The least common multiple (LCM) of 63 and 163 is 10269.
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 63 and 163?
First, calculate the GCD of 63 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 163 = 0 remainder 63 |
| 2 | 163 ÷ 63 = 2 remainder 37 |
| 3 | 63 ÷ 37 = 1 remainder 26 |
| 4 | 37 ÷ 26 = 1 remainder 11 |
| 5 | 26 ÷ 11 = 2 remainder 4 |
| 6 | 11 ÷ 4 = 2 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 91 | 4914 |
| 156 and 66 | 1716 |
| 29 and 200 | 5800 |
| 200 and 184 | 4600 |
| 45 and 122 | 5490 |