Least Common Multiple (LCM) of 163 and 99
The least common multiple (LCM) of 163 and 99 is 16137.
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 99?
First, calculate the GCD of 163 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 99 = 1 remainder 64 |
| 2 | 99 ÷ 64 = 1 remainder 35 |
| 3 | 64 ÷ 35 = 1 remainder 29 |
| 4 | 35 ÷ 29 = 1 remainder 6 |
| 5 | 29 ÷ 6 = 4 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 168 | 2184 |
| 58 and 147 | 8526 |
| 90 and 52 | 2340 |
| 94 and 56 | 2632 |
| 18 and 52 | 468 |