Least Common Multiple (LCM) of 163 and 91
The least common multiple (LCM) of 163 and 91 is 14833.
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 91?
First, calculate the GCD of 163 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 91 = 1 remainder 72 |
| 2 | 91 ÷ 72 = 1 remainder 19 |
| 3 | 72 ÷ 19 = 3 remainder 15 |
| 4 | 19 ÷ 15 = 1 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 14 | 154 |
| 90 and 150 | 450 |
| 49 and 159 | 7791 |
| 108 and 18 | 108 |
| 200 and 46 | 4600 |