Least Common Multiple (LCM) of 91 and 163
The least common multiple (LCM) of 91 and 163 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 91 and 163?
First, calculate the GCD of 91 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 163 = 0 remainder 91 |
| 2 | 163 ÷ 91 = 1 remainder 72 |
| 3 | 91 ÷ 72 = 1 remainder 19 |
| 4 | 72 ÷ 19 = 3 remainder 15 |
| 5 | 19 ÷ 15 = 1 remainder 4 |
| 6 | 15 ÷ 4 = 3 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 71 | 14129 |
| 114 and 197 | 22458 |
| 105 and 162 | 5670 |
| 152 and 99 | 15048 |
| 24 and 12 | 24 |