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 |
|---|---|
| 107 and 60 | 6420 |
| 22 and 183 | 4026 |
| 134 and 175 | 23450 |
| 74 and 18 | 666 |
| 13 and 175 | 2275 |